TWI790831B - Multimodal Dynamic Key Method Based on Chaotic Peak Coding and Its Application - Google Patents

Abstract

The present invention discloses a multi-modal dynamic key method based on chaotic peak coding and its application, which includes a first information device at the sending end and a second information device at the receiving end. The first information device built-in the first chaos system of the main end, the hash calculation module of the main end, the encryption system and the network transmission module of the main end. The second information device has a built-in slave-side first chaos system, a slave-side hash calculation module, a decryption system, and a slave-side network transmission module. The first chaotic system at the master end and the first chaotic system at the slave end iteratively generate random chaotic random numbers, and each generates a dynamic key through the operation of a secure hash algorithm. The encryption system encrypts the dynamic key and plaintext data into ciphertext, and then transmits it to the slave-side network transmission module through the master-side network transmission module through the public network, and then decrypts the dynamic key and ciphertext data by the decryption system It is plaintext data, so that the random characteristics of the chaotic system state and the butterfly effect can be used and the SHA3-256 algorithm is introduced to generate a dynamic fixed-length random key that is difficult to crack, so as to ensure the security of information transmission between information devices.

Description

Multimodal Dynamic Key Method Based on Chaotic Peak Coding and Its Application

The invention relates to a multi-modal dynamic key method based on chaotic peak coding and its application, especially to a method that uses the random characteristics of the chaotic system state and the butterfly effect and introduces the SHA3-256 algorithm to generate a dynamic fixed length that is difficult to crack Multi-modal dynamic key technology of random key.

In basic cryptography, traditional symmetric encryption (Symmetric Encryption) includes DES (Data Encryption Standard), AES (Advanced Encryption Standard), RC5 (Rivest Cipher5), etc., all rely on the complexity of the encryption algorithm and the fixed key [3 ] to complete the data encryption and decryption. In addition to the increase in the computing speed of the current computer and the maturity of the next generation of quantum computer technology, quantum computing will be easily based on Shor or Grover's quantum computing algorithms such as references [4][5]. The mathematical problems of these ciphers will be It can be easily solved by quantum computers. In the future, if quantum computers have enough bits, all public key cryptosystems will be at risk, as shown in reference [6]. In addition, the key in the symmetric encryption also has problems such as storage. In the face of the frequent hacking incidents of IoT facilities, if the key is stolen by hackers, the ciphertext will be easily cracked. Therefore, the design dynamic The design of the key and updating the key at any time will help to solve this problem.

Furthermore, the chaotic system is a kind of non-periodic but regular theory under the interaction of periodic motion and non-periodic motion. Since the chaotic motion shows sensitivity to the initial value, Butterfly effect and other features such as strange attractors, such as references [7][8][9], even if adjacent initial values go through several iterations, the chaotic system will obtain completely different sequences. Therefore, chaotic systems are widely used in data encryption such as references [10][11].

The random number generator designed based on chaos theory has butterfly effect and unpredictable characteristics. After high-speed calculation, it can generate a large number of random-like signals in a short time. In the past research literature, such as reference [12][13] , this feature has been applied to symmetric encryption. A master-slave chaotic system is established at the sending and receiving ends, and high-quality keys that can be used and lost can be designed to solve the problems of key storage and distribution. However, It solves the shortcomings of traditional symmetric encryption. The following problem is that the initial value of the encryption and decryption system designed by the random number generator must be the same. However, if the chaotic state is disturbed and there is a very small difference, due to Butterfly effect, this design method will fail.

In order to solve this problem, it is necessary to rely on the chaos synchronization control technology. Through the design of the controller, the butterfly effect between the master and slave chaotic systems can be effectively suppressed, and the state synchronization of the master and slave chaotic systems is forced to generate the same key to complete the symmetric formula. Encryption and decryption design process. In the past literature, such as references [14-18], researchers of chaotic cryptography have perfected the entire encryption system through a synchronous controller, but there are still points that can be broken. When the mathematical model and the synchronous controller flow out, through the interception Synchronize signals, carry out brute-force attack (Brute-force attack), the initial value coefficient of the chaotic system may be cracked, therefore, how to develop a multi-modal chaotic system architecture to design random switching rules through different chaotic systems The introduction of multiple chaotic key generators with different initial values for mixed key technology has indeed become a technical issue that industry and academics in related technical fields are eager to solve and challenge.

Based on the urgent needs of related industries, the inventor relies on many years of practice Experience and relevant professional knowledge, after continuous efforts in research and development, finally developed a multi-modal chaotic random number generator architecture. This invention mainly focuses on improving the random number quality of the chaotic system and increasing its degree of chaos. At the same time, the design concept of chaotic system synchronization is introduced to solve the problems of difficult storage and distribution of traditional symmetric encryption keys. In addition, the dynamic state of chaos combined with the dynamic key generated by SHA3-256 greatly improves its security. Hard to crack.

The first purpose of the present invention is to provide a multi-modal dynamic key method based on chaotic peak coding, which mainly uses the random characteristics of the chaotic system state and the butterfly effect and introduces the SHA3-256 algorithm to generate a dynamic fixed length that is difficult to crack random key to ensure the security of information transmission between information devices. The technical means to achieve the first objective of the present invention includes a first information device at the sending end and a second information device at the receiving end. The first information device built-in the first chaos system of the main end, the hash calculation module of the main end, the encryption system and the network transmission module of the main end. The second information device has a built-in slave-side first chaos system, a slave-side hash calculation module, a decryption system, and a slave-side network transmission module. The first chaotic system at the master end and the first chaotic system at the slave end iteratively generate random chaotic random numbers, and each generates a dynamic key through the operation of a secure hash algorithm. The encryption system encrypts the dynamic key and plaintext data into ciphertext, and then transmits it to the slave-side network transmission module through the master-side network transmission module through the public network, and then decrypts the dynamic key and ciphertext data by the decryption system for plaintext data.

The second object of the present invention is to provide a multi-modal dynamic key method based on chaotic peak coding that utilizes peak coding and multi-modal chaotic system to improve the quality of random numbers, mainly based on the peak coding method of chaos theory, which can be randomly controlled Toggles the dynamics of the Chaos random number generator state key to realize the controller that even the designer has no way of knowing the timing of the switching. In addition to the possibility of improving the pseudo-random number generator by changing the random seed, it will be impossible to find anything through brute force attacks and spectrum analysis. Features are broken down. The technical means to achieve the second objective of the present invention includes a first information device at the sending end and a second information device at the receiving end. The first information device built-in the first chaos system of the main end, the hash calculation module of the main end, the encryption system and the network transmission module of the main end. The second information device has a built-in slave-side first chaos system, a slave-side hash calculation module, a decryption system, and a slave-side network transmission module. The first chaotic system at the master end and the first chaotic system at the slave end iteratively generate random chaotic random numbers, and each generates a dynamic key through the operation of a secure hash algorithm. The encryption system encrypts the dynamic key and plaintext data into ciphertext, and then transmits it to the slave-side network transmission module through the master-side network transmission module through the public network, and then decrypts the dynamic key and ciphertext data by the decryption system for plaintext data. It further includes providing a second chaotic system at the master end, a second chaotic system at the slave end, and two peak encoding controllers, the number of the first chaotic system at the master end and the first chaotic system at the slave end is plural; the first chaotic system at the master end The two chaotic systems and the second chaotic system at the slave end respectively generate peak codes, and the two peak code controller randomly selects one of the first chaotic system at the master end and the first chaotic system at the slave end to output the chaotic codes according to the peak code synchronously. The number is input to the master-side hash calculation module and the slave-side hash calculation module respectively, so as to perform operations of the secure hash calculation algorithm and generate the dynamic key respectively.

The third purpose of the present invention is to provide a machine tool data confidential transmission system using the multi-modal dynamic key method based on chaotic peak coding, mainly to apply this multi-modal chaotic system to the design of the communication security system of the machine tool, To ensure the security of information transmission between machine tools. The technical means to achieve the third objective of the present invention includes a first information device at the sending end and a second information device at the receiving end. The first information device built-in main terminal first chaos System, main-end hash calculation module, encryption system and main-end network transmission module. The second information device has a built-in slave-side first chaos system, a slave-side hash calculation module, a decryption system, and a slave-side network transmission module. The first chaotic system at the master end and the first chaotic system at the slave end iteratively generate random chaotic random numbers, and each generates a dynamic key through the operation of a secure hash algorithm. The encryption system encrypts the dynamic key and plaintext data into ciphertext, and then transmits it to the slave-side network transmission module through the master-side network transmission module through the public network, and then decrypts the dynamic key and ciphertext data by the decryption system for plaintext data. Wherein, including at least one machine tool and at least one data acquisition module, the first information device extracts the at least one machine tool as the processing parameter of the plaintext data through the at least one data acquisition module, and the encryption system takes the The processing parameters, the identification code (ID) of the machine tool and the state key are encrypted into the ciphertext, and transmitted to the slave-end network transmission module through the public network domain through the master-end network transmission module , and then the decryption system decrypts the dynamic key and ciphertext data into the plaintext data, mainly using the random characteristics of the state of the chaotic system and the butterfly effect and introducing the SHA3-256 algorithm to generate a dynamic fixed-length hard-to-decipher Random keys to ensure the security of information transmission between information devices.

10: The first information device

11: The first chaotic system on the master side

12: Master-side hash calculation module

13: Encryption system

130: first mutex or

14: Main-end network transmission module

15: The second chaotic system on the master side

16.26: Peak Encoder Controller

17: Data acquisition module

20: The second information device

21: The first chaotic system on the slave side

22: Slave side hash calculation module

23: Decryption system

230: The second mutex or

24: Slave-end network transmission module

25: The second chaotic system on the slave side

30: Public domain

40: machine tools

Fig. 1 is a schematic diagram of the implementation of the dynamic error of the present invention.

Fig. 2 is the implementation diagram of the chaotic dynamic key generator and the encryption and decryption process of the present invention.

FIG. 3 is a schematic diagram of the implementation of the dynamic key design architecture of the present invention.

Fig. 4 is a schematic diagram of the process implementation of mutual exclusion or encryption and decryption in the present invention.

Fig. 5 is an implementation schematic diagram of the multi-modal chaotic system architecture flow of the present invention.

Fig. 6 is a schematic diagram of implementing the discrete 4-dimensional continuous Lorenz-Stenflo dynamic error of the present invention.

Fig. 7 is a schematic diagram of the distribution of peak encoding curves of the present invention.

FIG. 8 is a schematic diagram of the implementation of the framework of the peak encoding process of the present invention.

FIG. 9 is a schematic diagram of the distribution of multi-mode chaotic signals in the present invention.

FIG. 10 is a schematic diagram of the structure of the application of the present invention to the intelligent machine communication security system.

Fig. 11 is a schematic diagram of the implementation of the architecture of the multi-modal chaos communication security system of the present invention.

FIG. 12 is a schematic diagram of the distribution of the dynamic multi-mode signal implementation of the present invention.

FIG. 13 is a schematic diagram of a screen displaying the state of the machine tool at the sending end according to the present invention.

FIG. 14 is a schematic diagram of the screen displaying the state of the machine tool at the receiving end according to the present invention.

FIG. 15 is a schematic diagram of a screen displaying an undecryptable status at the receiving end according to the present invention.

In order to allow your examiner to further understand the overall technical characteristics of the present invention and the technical means to achieve the purpose of the present invention, the specific embodiments are described in detail in conjunction with the drawings as follows: please refer to Figures 2 to 4 for the purpose The first embodiment of the first object of the invention includes a first information device 10 (such as a chip processor, a microcontroller or a computer; but not limited thereto) at a sending end and a second information device 20 at a receiving end (such as server; but not limited to). The first information device 10 includes at least a master first chaotic system 11 , a master hash calculation module 12 , an encryption system 13 and a master network transmission module 14 . The second information device 20 includes at least one first chaotic system 21 corresponding to the first chaotic system 11 at the master end, a hash calculation module 22 at the slave end, a decryption system 23 and a network transmission module at the slave end. Group 24. The first master-end chaotic system 11 and the slave-end first chaotic system 21 are used to iteratively generate random chaotic random numbers, the master-end synchronization signal u _m and the slave-end synchronization signal u _s , and input the chaotic random numbers to the The master-side hash calculation module 12 and the slave-side hash calculation module 22 perform operations of the secure hash calculation algorithm to generate the same dynamic key respectively. The encryption system 13 is used to encrypt the dynamic key and plaintext data into ciphertext and then pass through the main-end network transmission module 14 through the public network domain 30 (such as the Internet or mobile communication network; but not limited thereto) transmitted to the slave-end network transmission module 24, and then the decryption system 23 decrypts the dynamic key and ciphertext data and restores them to plaintext data; on the other hand, the master-end network transmission module 14 synchronizes the ciphertext with the master-end The signal u _m is put into a packet, and transmitted to the slave-side network transmission module 24 through the _{public network domain 30, and the slave-side network transmission module 24 will receive the master-side synchronization signal um} and the slave-side synchronization signal The complete synchronization signal uk is obtained after u _s is combined with the synchronization operation, so that the first chaotic system 11 at the master end and the first chaotic system 21 at _the slave end can be synchronized, and then each generates the same dynamic key.

Please cooperate with referring to the embodiment shown in Fig. 4, this encryption system 13 comprises a first mutual exclusion or 130, the input end of this first mutual exclusion or 130 is for inputting the plaintext data, and the other input end is for inputting dynamic key, After the exclusive OR operation, the encrypted ciphertext is output at its output terminal.

Please refer to shown in Fig. 4, this decryption system 23 comprises a second mutual exclusion or 230, the input end of this second mutual exclusion or 230 is for inputting ciphertext, and another input end is for inputting dynamic key, through mutual exclusion or 230 After the operation, the decrypted and restored plaintext data is output at its output terminal.

Specifically, both the master first chaotic system 11 and the slave first chaotic system 21 are HENON-MAP chaotic systems.

Please refer to Fig. 5, 8 and Fig. 10, in order to achieve the second embodiment of the second purpose of the present invention, this embodiment not only includes the overall technical content of the above-mentioned first embodiment, but also includes a main terminal second Chaotic system 15, a slave-end second chaotic system 25 and two peak encoding controllers 16.26, the number of the master-end first chaotic system 11 and the slave-end first chaotic system 21 is plural; the master-end second chaotic system 15 and the slave-side second chaotic system 25 respectively generate peak codes, and the two-peak code controller 16.26 randomly selects one of the master-side first chaotic system 11 and the slave-side first chaotic system 21 according to the peak code synchronously to output chaotic random numbers, and respectively input to the main-end hash calculation module 12 and the slave-side hash calculation module 22 are used to perform secure hash calculation operations to generate dynamic keys respectively.

Specifically, both the master-side second chaotic system 15 and the slave-side second chaotic system 25 are Lorenz-Stenflo chaotic systems. The two-peak encoding controllers 16.26 are all multiplexers with a many-to-one selection function. Both the master-side hash calculation module 12 and the slave-side hash calculation module 22 are hash calculation algorithms (SHA256).

Please refer to FIG. 11, in order to achieve the third embodiment of the third purpose of the present invention, this embodiment includes at least one machine tool 40 and at least one data acquisition system in addition to the overall technical content of the above-mentioned first embodiment. Take the module 17, the first information device 10 retrieves at least one machine tool 40 as the processing parameters of plain text data through at least one data acquisition module 17, and the encryption system 13 uses the processing parameters, the identification code (ID) of the machine tool 40 ) and the dynamic key are encrypted into ciphertext, and are transmitted to the slave-end network transmission module 24 through the public network domain 30 through the master-end network transmission module 14, and then the dynamic key and the ciphertext data are encrypted by the decryption system 23 Decrypt to plaintext data.

In order to solve the doubts of communication security caused by the traditional symmetric fixed key, and the transmission of asymmetric encrypted private key, the present invention adopts the chaotic synchronization control technology so that the information of the key is not exposed to the public transmission channel. At the same time, due to the characteristics of the synchronization of the chaotic state, it can provide accurate and dynamic random random numbers, combined with the calculation of SHA256, it can provide a highly secure dynamic chaotic key. The present invention uses the Henon-Map mathematical model to verify and simulate chaos synchronization in the multimodal framework of the present invention, (1) and (2) formulas are respectively the mathematical models of master and slave Henon-Map, and (9) formula is a synchronous controller, synchronous The detailed derivation method of controller design can be found in reference [26].

For the discussion of synchronous controller design, the error state is defined as: e _i ( k )= y _i ( k )- x _i ( k ), i =1,2,3 (3)

When the error converges to 0, it means that the master-slave chaotic system is synchronized. According to (3), the present invention can obtain error dynamic equation as follows:

To synchronize the master-slave chaotic system (1) (2), a synchronous controller must be designed. In this design, the design theory of sliding mode will be used. The present invention will divide the following two steps to complete the design of the controller.

Step 1: The sliding mode conversion surface is designed as follows: s ( k ) = e ₁ ( k ) + c ₁ e ₂ ( k ) + c ₂ e ₃ ( k ) (5) If there is a controller u ( k ) (controller The design will be detailed below), it can be guaranteed that s ( k )=0 , then we can get: e ₁ ( k )=- c ₁ e ₂ ( k )- c ₂ e ₃ ( k ) (6)

By substituting the relationship e ₁ ( k ) = c ₁ e ₂ ( k ) c ₂ e ₃ ( k ) into the error equation (3) the master-slave system can be rewritten as:

It can be seen from the above formula that if c ₁ and c ₂ are selected as specific values, the characteristic roots of A will be limited to the identity element, ie ,| λ _i ( A )}<1 , then E ( k )=[ e ₂ ( k ) e ₃ ( k )] ^T can converge to zero. It can converge to zero and at the same time, from s ( k )=0 , it can be known that e ₁ =0 , which can ensure that the error converges to zero. The design of the conversion surface is for chaos synchronization It is very important. If the design is not good, the values of the master and the slave will diverge. After confirming the stability of the error dynamics in the sliding mode, the present invention discusses how to design the controller so that the system can enter the sliding mode.

Step 2 Design the controller: In order to ensure that the system can reach the conversion surface, the design method of the controller is described as follows, from the conversion surface (5), it can be obtained:

Let the controller be:

After substitution, we can get: s ( k +1)- s ( k )= αs ( k ) (10)

From formula (10) , s ( k +1)=( α +1) s ( k ) can be obtained. If the present invention selects an appropriate α to make | α +1|<1 , it can ensure that the system will enter the sliding mode smoothly The system will smoothly enter the s ( k ) = 0 sliding mode, and from the above step 1, it can be seen that the error converges to zero, and the synchronization design can be completed. When actually applied to the communication security design, in order to consider reducing the exposure of information and the realization of the synchronous controller, the present invention is further divided into master and slave ends, and decomposes the designed synchronous controller into u _k = F ( u _m , u _s ) , where:

Obviously, u _m , u _s represent the synthesized signals provided by the master and slave respectively. After combining the function F, the controller shown in (9) can be obtained, and the synchronous controller can be completed by substituting it into the slave Then complete the design goal of master-slave chaotic system synchronization.

Next, the present invention performs a simulation test to test the correctness of the above synchronous control. During the simulation, the initial values of the master-slave system are x ₁ =1.19, x ₂ =1.03, x ₃ =0.34, y ₁ =0.12, y ₂ =0.11, y ₃ =0.29 , the parameter values of the synchronous controller are c ₁ =-0.5, c ₂ =0.06, α =-0.5, and the characteristic root of A is (0.3,0.2) at this time . Satisfying | λ _i ( A )|<1 and | α +1|<1 , it can be determined from the above discussion that the master-slave system can be fully synchronized. The simulation results are shown in Figure 1. It can be found from the simulation results that the synchronous operation increases with the number of iterations, e _i ( k ) = y _i ( k )- x _i ( k ), i =1,2,3 , and tends to 0 after k>10 , the master and slave chaotic systems have reached synchronization as expected.

Then illustrate the design process of the dynamic key generator, as can be seen from Fig. 2, the present invention respectively sets master and slave chaotic systems (i.e. the first chaotic system 11 and Slave-side hash calculation module 22). The master-slave chaotic system will iteratively generate random random numbers and u _m , u _s , and the server will combine the received synchronization signal u _m with the slave-side synchronization signal u _s to obtain u _k , making the master and slave chaotic System synchronization. At the same time, the SHA-256 hash algorithm is also combined on the sending end (client) and the server end (server), as shown in Figure 3. Due to the butterfly effect of the chaotic system and the sensitivity to the initial value, combined with the avalanche effect of the SHA-256 hash function , will generate a non-repetitive and unpredictable dynamic key, and an exclusive OR (XOR) operation is used in the encryption and decryption mechanism, as shown in Figure 4. Simultaneously because do data transmission under the network environment, so the network transmission module 14,24 of the present invention adopts (TCP socket) as the transmission agreement, puts the ciphertext and the synchronous signal u _m into the packet and transmits together, so can Smooth data exchange between client and server.

In order to further improve the quality (randomness) of the random numbers of the present invention, based on the chaotic synchronous encryption and decryption technology, the present invention proposes a multi-modal architecture as shown in Figure 5, from which it can be seen that the master end and the slave end (sending end) and receiving end) to build a plurality of chaotic key generators, and then the present invention designs a peak code controller (PVCC) 16,26 to randomly switch different chaotic key generators (ie element symbols 11,12; 21,22 combination) to generate a dynamic key, which can improve the random quality of the random number, and then it will be analyzed and verified by NIST testing, thereby greatly improving the security of the system.

Peak coding (PVC) is generated through a chaotic system. Due to the characteristics of chaos theory, sensitivity to the initial value and the butterfly effect, it can generate random signals with strange attractors that do not diverge or converge, so it collects unpredictable random signals. Number, formulating eigenvalue rules to do switching control can achieve unpredictable switching timing. This design has the following three advantages:

(1) It is impossible to predict the timing of switching, which can increase the difficulty of cracking.

(2) Reduce the possibility that the random number generator can be predicted.

(3) Dynamically change the random seed to increase the quality of the key.

Next, the design of the peak encoding controller is described. First, the Lorenz-Stenflo chaotic system used in peak encoding is introduced. For the mathematical model, please refer to [27]:

Then, using the chaotic synchronization technology, the Lorenz-Stenflo chaotic system established at the sending end and the receiving end can generate the same peak encoding value, so that the client and server can achieve the same switching timing, and then select the same dynamic key generator. The dynamic key of the multi-mode chaotic system completes the encryption and decryption process, so the following describes and verifies the synchronization controller design of the Lorenz-Stenflo chaotic system. For the convenience of realization on microcontroller, first refer to [28], discretize (13)(14) 4-dimensional continuous Lorenz-Stenflo chaotic system. The discretized model of the system is defined as follows:

R ^4×4 和 H

R ^4×2 ，而 x _d (k)

R ⁴ 和 y _d (k)

R ⁴ 為離散化後的混沌同步系統的狀態，其分別定義為如下。 where the system parameter G

R ^4×4 and H

R ^4×2 , while x _d ( k )

R ⁴ and y _d ( k )

R ⁴ is the state of the discretized chaotic synchronous system, which are defined as follows.

Substitute coefficients a = 11.0 , b = 2.9 , c = 5.0 , d = 23.0 , λ = 1.9

where T is the sampling time, a , b , c , d and λ are the coefficients of the 4-dimensional continuous Lorenz-Stenflo chaotic system before discretization. After discretizing the system, first define the error dynamic equation as follows: e _{d 2} ( k +1)=0.2176 e _{d 1} ( k )+1.0022 e _{d 2} ( k )+0.0100( x _{d 1} ( k ) x _{d 4} ( k )- y _{d 1} ( k ) y _{d 4} ( k ))+ u ( k ) (21)

e _{d 3} ( k +1)=-0.0473 e _{d 1} ( k )+0.9896 e _{d 3} ( k ) (22)

e _{d 4} ( k +1)=0.9714 e _{d 4} ( k )+0.0099(- x _{d 1} ( k ) x _{d 2} ( k )+ y _{d 1} ( k ) y _{d 2} ( k )) (23)

Next, the present invention defines the controller u ( k ) in equation (22) as follows: u ( k )=-0.2176 e _{d 1} ( k )-0.0100( x _{d 1} ( k ) x _{d 4} ( k )- y _{d 1} ( k ) y _{d 4} ( k ))- r × e _{d 2} ( k ) (24)

Substituting controller u ( k ) formula (25) back into equation (22), it can be obtained as follows: e _{d 2} ( k +1)=(1.0022- r ) e _{d 2} ( k ) (25)

Therefore, it can be known in the present invention that if the dynamic error ed ₂ ( k ) is to converge to zero, |(1.0022- r )|<1 must be satisfied.

When e _{d 2} ( k )=0 , (20)(22) can be organized as follows:

It can be seen that the characteristic root | λ _i ( A )|=(0.9192,0.9775) can be obtained through the coefficient matrix A. When the characteristic root is less than 1, both ed ₁ ( k ) and ed ₃ ( k ) will converge to zero. Finally, substituting e _{d 1} ( k )= e _{d 2} ( k )= e _{d 3} ( k )=0 into equation (23), it can be obtained as follows: e _{d 4} ( k +1)=0.9714 e _{d 4} ( k ) (27)

It shows that ed ₄ coefficient less than 1 can make ed ₄ ( k ) converge to zero. When the final dynamic errors ed ₁ ( k ) , ed ₂ ( k ) , ed ₃ ( k ) and ed ₄ ( k ) are all zero, it means that the chaotic synchronous system has been synchronized. When the system is realized, like the Henon-Map synchronous controller design, the present invention must decompose the controller u ( k ) formula (34) into the form of u ( k ) = F ( u _m , u _s ) .

u _m =0.2176 x _{d 1} ( k )-0.0100 x _{d 1} ( k ) x _{d 4} ( k )+ r × x _{d 2} ( k ) (28)

u _s =-0.2176 y _{d 1} ( k )+0.0100 y _{d 1} ( k ) y _{d 4} ( k )- r × y _{d 2} ( k ) (29)

Simulation and verification: let r = 0.9 , the present invention substitutes (28)(29) into F to generate a complete controller u ( k ) and substitute it into the slave chaotic system (17), thereby synchronizing the slave and the master. The initial values are x _{d 1} = 18.0 , x _{d 2} =- 1.0 , x _{d 3} = 6.0 , x _{d 4} =- 2.0 , y _{d 1} =- 1.0 , y _{d 2} =- 3.0 , y _{d 3} = 2.0 and y _{d 4} =- 3-0 , it can be seen from Figure 6 that the dynamic errors of ed ₁ , ed ₂ , ed ₃ , and _{ed 4} all converge to 0 to complete synchronization.

2 ⁿ )，N為金鑰產生器個數。如本次模擬驗證一共使用了4個混沌金鑰產生器，那麼混沌金鑰產生器的序號依序是[00,01,10,11]，則切換的位元長度為2即可。 Next, the peak encoding method will be described. Since the discrete Lorenz-Stenflo will generate random random numbers, the present invention will compare the generated values and record the value p _i of each continuous peak, i =1,2,K,∞, And compare the height, if p _{i +1} > p _i , the peak coding sequence will store 1, otherwise store 0, as shown in Figure 7, the [1,1,0] sequence will be obtained. Then, the collected peak code sequence can be used to control switching to different chaotic key generators to obtain the corresponding random numbers. Figure 7 shows that the serial numbers of each chaotic key generator are in binary order, and the switched The peak coding sequence length n satisfies (N

2 ⁿ ) , N is the number of key generators. If a total of 4 chaotic key generators are used in this simulation verification, then the serial numbers of the chaotic key generators are [00, 01, 10, 11] in sequence, and the bit length of switching is 2.

In Fig. 8, the present invention can import N Henon-Map master-slave dynamic key generators (Henon-Map master dynamic key/Henon-Map slave dynamic key), when the Lorenz-Stenflo master-slave chaotic system reaches synchronization Generate the same peak code (PVC), and then design a controller (PVCC) through the same peak code to switch and choose to use the dynamic key generated by Henon-Map to complete a peak code that even the designer cannot predict the switching time design.

Finally, it is simulation and verification. Figure 9 shows the multi-modal architecture of four Henon-Map chaotic systems, in which a total of 500 chaotic signals are pointed out, and the four colors correspond to four chaotic random number generators. From the figure, we can see In addition to the random switching of the chaotic system, if the color results of the simulation verification are removed, it will be impossible to distinguish how many chaotic systems are used, and even the switching timing will not be known, which greatly improves the security of the system and also shows that the peak coding The first two advantages, the unpredictability of switching timing and the predictability of the improved pseudo-random number generator, validate the design of the peak encoding controller of the present invention.

In this section, the present invention uses NIST SP 800-22 to test whether the chaos degree of the key generator of the multi-modal architecture is better. NIST SP 800-22 is an encryption standard proposed by NIST (National Institute of Standards and Technology), so its credibility is extremely high! There are 15 items in the test, and the test is passed if the score of each item is higher than 0.01. Here, the present invention uses a file size of 7×10 ⁶ bytes for the test, and the test results are shown in Table 1 below. It can be seen from Table 1 that the total test score of the multi-modal architecture is better than that of a single chaotic system, which verifies that the quality of the dynamic key of the multi-modal architecture has indeed been greatly improved, echoing the above-mentioned advantage three of peak coding.

Furthermore, in the era of Industry 4.0, the analysis and prediction of big data make the data generated by machine tools extremely important. In order to prevent hackers from stealing the company's confidential information, encryption of transmitted data is indispensable. The present invention proposes a multi-modal framework based on peak coding and introduces into the field of intelligent machinery to establish a communication security system between the machine tool and the server to achieve an industrial-grade communication security design. Figure 10 is the structure diagram of the communication security system of the machine network planned by the present invention. Firstly, the processing parameters of the tool are extracted into the chip, and a master-end multi-modal chaotic system is built in each single chip for encryption, and then the tool Machine ID, synchronous control signal u _m and ciphertext are transmitted to the server end of the present invention through the public channel, and then by building on the server end, the slave end multi-modal chaotic system is decrypted through the machine tool ID , and finally visualize its data. The present invention writes in the single chip and the server by means of programming, so it can easily expand multiple machine tools without being limited by circuits.

Figure 11 shows the multi-modal chaos communication security system architecture integrating the above technologies. The Lorenz-Stenflo chaotic system generates peak codes, and the Henon-Map chaotic system generates chaotic signals, which are randomly selected by the master and slave peak code controllers 16 and 26. The signal is output, and then the dynamic key is generated through the operation of the secure hash algorithm, and the design of the key generator for the multi-modal chaotic system is completed.

To realize (Realization of) the multi-modal chaotic system in the communication security system of the machine tool, when the system is realized, the present invention uses two raspberries to simulate the processing data generated by the two machine tools respectively, and transmits the data to On the first information device 10 (i.e. computer) (server side), Figures 13 and 14 are the display screens of the simulated verification status, and the displayed data include the chaotic system status, peak code sequence, dynamic key, machine tool parameters, received ciphertext and decrypted plaintext. Next, the meaning of each displayed data is explained. The state of the chaotic system indicates which chaotic random number generator in the multi-mode architecture is being used for the data. The peak code sequence shows the sequence collected by the peak code. You can see it in Figures 13 and 14. The latest two bits of the peak coding eigenvalue sequence are 10, which corresponds to the multi-mode architecture that is using chaotic system 3. When the same chaotic system is selected, the same key can be used for encryption and decryption, and then the dynamic key is the current The encryption and decryption key used by the pen data, the parameter of the machine tool is the data to be encrypted, that is, plain text, and finally the received cipher text, which is encrypted and converted into hexadecimal for display, and the plain text is the string restored after decryption , Figure 13 and Figure 14 can be seen that the same dynamic key can be successfully decrypted, and the machine tool parameters can be restored to plain text. Figure 15 shows that the machine tool parameters cannot be restored with different dynamic keys, and the correctness of the system is verified. In order to Show the design of the multi-modal architecture more concretely, as shown in Figure 12, drawing the chaotic random numbers of the real-time multi-modal architecture , and use different symbols to represent different chaotic systems, so as to more clearly show the multimodal architecture based on peak coding.

After the description of the above-mentioned specific embodiments, the present invention is indeed a technical scheme design combined with a chaotic synchronization system, and proposes an innovative peak coding method based on chaos theory, which can randomly control and switch the dynamic key of the chaotic random number generator, and completes A controller that even the designer has no way of knowing the timing of the switching. In addition to the predictable possibility of improving the pseudo-random number generator by changing the random seed, it will also be impossible to find out anything through brute force attacks and spectrum analysis. The characteristics are deciphered, which shows that the chaotic encryption and decryption system of the multi-modal architecture has ultra-high security. At the same time, through the chaos test of NIST SP 800-22, it is verified that the multi-modal architecture has further improved the chaos of the dynamic key. Finally, simulate the many-to-one structure of the actual machine tool field, introduce the multi-modal chaotic system to the machine tool end and the server end, illustrate the feasibility and practicability of the system, and actually design the information security of the machine network in smart manufacturing system.

The above is only a feasible embodiment of the present invention, and is not intended to limit the patent scope of the present invention. Any equivalent implementation of other changes based on the content, characteristics and spirit of the following claims should be Included in the patent scope of the present invention. The structural features of the invention specifically defined in the claims are not found in similar items, and are practical and progressive, and have met the requirements of an invention patent. I file an application in accordance with the law. I would like to ask the Jun Bureau to approve the patent in accordance with the law to maintain this invention. The legitimate rights and interests of the applicant.

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11: The first chaotic system on the master side

12: Master-side hash calculation module

13: Encryption system

14: Main-end network transmission module

21: The first chaotic system on the slave side

22: Slave side hash calculation module

23: Decryption system

24: Slave-end network transmission module

30: Public domain

Claims (9)

A multi-modal dynamic key method based on chaotic peak coding, which includes: providing a first information device at the sending end and a second information device at the receiving end; A chaotic system, a master-end hash calculation module, an encryption system and a master-end network transmission module; at least one slave end corresponding to the at least one master-end first chaotic system is built in the second information device The first chaotic system, a hash calculation module at the slave end, a decryption system, and a network transmission module at the slave end; make the first chaotic system at the master end and the first chaotic system at the slave end iteratively generate random chaos number, and respectively input to the master-side hash calculation module and the slave-side hash calculation module to perform secure hash calculation operations to generate the same dynamic key; and use the encryption system to the dynamic key and The plaintext data is encrypted into ciphertext and then transmitted to the slave-end network transmission module through a public network domain through the master-end network transmission module, and then the decryption system decrypts the dynamic key and ciphertext data into the Plaintext information; which further includes providing a second chaotic system at the master end, a second chaotic system at the slave end, and two peak encoding controllers, and the number of the first chaotic system at the master end and the first chaotic system at the slave end is plural; The second chaotic system at the master end and the second chaotic system at the slave end generate peak codes respectively, and the two-peak code controller randomly selects one of the first chaotic system at the master end and the first chaotic system at the slave end according to the peak code synchronously. The chaotic random number is output and input to the master-side hash calculation module and the slave-side hash calculation module respectively, so as to perform operations of a secure hash calculation algorithm to generate the dynamic key respectively. The multi-modal dynamic key method based on chaotic peak coding as described in claim 1, wherein the first chaotic system at the master end and the first chaotic system at the slave end iteratively generate the master-end synchronization signal u _m and the slave-end respectively Synchronization signal u _s , to put the ciphertext and the master synchronization signal um into the packet and transmit it to the slave network transmission module through the master network transmission module and the public network domain together _. The received synchronization signal u _m of the master terminal and the synchronization signal u _s of the slave terminal are combined to obtain a complete synchronization signal u _k after synchronization operation, so that the first chaotic system of the master terminal and the first chaotic system of the slave terminal are synchronized to generate the same of the dynamic key. The multimodal dynamic key method based on chaotic peak coding as described in claim 1, wherein, the encryption system includes a first mutual exclusion or, and an input port of the first mutual exclusion or is for inputting the plaintext data, and An input port is used for inputting the dynamic key, and the cipher text is output at its output port after mutual exclusive OR operation. The multi-modal dynamic key method based on chaotic peak coding as described in claim 1, wherein, the decryption system includes a second mutually exclusive OR, and an input port of the second mutually exclusive OR is for inputting the ciphertext, and in addition An input terminal is used for inputting the dynamic key, and after mutual exclusive OR operation, the decrypted and restored plaintext data is output at its output terminal. The multi-modal dynamic key method based on chaotic peak coding as described in claim 1, wherein the first chaotic system at the master end and the first chaotic system at the slave end are both HENON-MAP chaotic systems. The multi-modal dynamic key method based on chaotic peak coding as described in Claim 1, wherein both the master-side second chaotic system and the slave-side second chaotic system are Lorenz-Stenflo chaotic systems. The multi-modal dynamic key method based on chaotic peak coding as described in Claim 1, wherein the two peak coding controllers are all multiplexers with a many-to-one selection function. The multi-modal dynamic key method based on chaotic peak coding as described in Claim 1, wherein both the master-side hash calculation module and the slave-side hash calculation module are hash algorithms (SHA256). A machine tool data secure transmission system applying the multi-modal dynamic key method based on chaotic peak coding as described in claim 1, which includes at least one machine tool and at least one data acquisition module, the first information device through The at least one data acquisition module extracts the at least one machine tool as the processing parameters of the plaintext data, and the encryption system encrypts the processing parameters, the identification code (ID) of the machine tool and the dynamic key into the key The text is transmitted to the slave-side network transmission module through the public network domain through the master-side network transmission module, and then the decryption system decrypts the dynamic key and ciphertext data into the plaintext data.

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