CN110149200A - A kind of color image encrypting method based on dynamic DNA and 4D chaos - Google Patents
A kind of color image encrypting method based on dynamic DNA and 4D chaos Download PDFInfo
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- CN110149200A CN110149200A CN201910489610.5A CN201910489610A CN110149200A CN 110149200 A CN110149200 A CN 110149200A CN 201910489610 A CN201910489610 A CN 201910489610A CN 110149200 A CN110149200 A CN 110149200A
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/001—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols using chaotic signals
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/002—Countermeasures against attacks on cryptographic mechanisms
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/06—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols the encryption apparatus using shift registers or memories for block-wise or stream coding, e.g. DES systems or RC4; Hash functions; Pseudorandom sequence generators
- H04L9/0643—Hash functions, e.g. MD5, SHA, HMAC or f9 MAC
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/08—Key distribution or management, e.g. generation, sharing or updating, of cryptographic keys or passwords
- H04L9/0861—Generation of secret information including derivation or calculation of cryptographic keys or passwords
- H04L9/0866—Generation of secret information including derivation or calculation of cryptographic keys or passwords involving user or device identifiers, e.g. serial number, physical or biometrical information, DNA, hand-signature or measurable physical characteristics
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
- H04N19/00—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
- H04N19/46—Embedding additional information in the video signal during the compression process
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Abstract
The present invention is directed to the technical issues of image encryption based on traditional static DNA, proposes a kind of color image encrypting method based on dynamic DNA and 4D chaos.This method generates 2 groups of 4 kinds of chaos matrixes using 4D chaos, respectively corresponds DNA operation of confusion, the dynamic DNA encoding matrix in three kinds of channels of RGB, the regular matrix and chaos matrix of the dynamic DNA diffusion operation in three kinds of channels.Since the initial parameter of 4D chaos is using hash algorithm and by determining in plain text, which can resist chosen -plain attact, and be able to achieve dynamic DNA encryption.The robustness of this method is high, while safety is good.
Description
Technical field
The present invention relates to the encryption methods of a kind of information security technology and digital image processing field, especially image.
Background technique
Digital picture has that data capacity is big, correlation is strong between adjacent pixel, substantive characteristics of High redundancy, this to pass
The data ciphering method of system is hard to work.Although a large amount of resume image is suggested, some new problems are also faced such as:
Quick real-time encrypted system, the security mechanism for generating one time key, with stronger ability for resisting various attacks etc..Aliasing
Image encryption method in conjunction with DNA is one of hot spot direction very popular in recent years.DNA operation is related to DNA and obscures and expand
It dissipates.DNA obscures the value for only changing each DNA unit, and without changing its position, its encryption can not be ensured by obscuring only with DNA
The safety of system.Therefore, DNA, which obscures, is often applied in combination with DNA diffusion.DNA diffusion due to changing position can reduce
The robustness of encryption system；In addition, the coding of DNA is static in traditional DNA encryption method, and encrypted for static state DNA
The simple modifications of method are still unable to satisfy the requirement of high security.Therefore, the image encryption method based on DNA be faced with how
Meet the technological challenge of high security and robustness simultaneously.
Summary of the invention
The technical problem to be solved in the present invention is to provide a kind of color image encryption sides based on dynamic DNA and 4D chaos
Method.
Solve above-mentioned technical problem and use following technical measures: a kind of color image based on dynamic DNA and 4D chaos adds
Decryption method carries out as follows:
(1) it encrypts:
(i) the generation of initial code key and hybrid matrix:
(a) image to be encrypted is expressed as M, generates original code key K using hash algorithmo, it is expressed as Ko=Ha (M), wherein Ha
() is hash function；The original code key K that will be obtainedoWith add salt code key KsThe combination of head and the tail linking is carried out, and reuses Kazakhstan
Uncommon algorithm obtains initial code key Ki, it is expressed as Ki=Ha(Ko||Ks)；
(b) initial code key K is usediGenerate four initial parameter x of 4D chaos system0, y0, z0, u0, then use these
Initial parameter generates eight kinds of chaos matrixes, U therein by 4D chaos systemcFor dynamic DNA encoding, three kinds of chaos matrixes
Xc, Yc, ZcFor DNA operation of confusion, four kinds of chaos matrix Xd, Yd, Zd, UdOperation is spread for dynamic DNA；
(c) eight kinds of chaos matrix X will be obtainedc, Yc, Zc, Uc, Xd, Yd, Zd, UdIt is ranked up, according to sorting and obtain
Index, available two group indexes matrix Xci, Yci, Zci, UciAnd Rd, Gd, Bd, Udi；X thereinci, Yci, Zci
By obtaining matrix X' to 4 modulo operationsci, Y'ci, Z'ci, U thereinciBy obtaining dynamic DNA volume to 8 modulo operations
The regular matrix D of codee, U thereindiBy obtaining the regular matrix D of dynamic DNA diffusion operation to 3 modulo operationsd；Then,
X' thereinci, Y'ci, Z'ciThe matrix R of DNA operation of confusion is obtained by codingc, Gc, Bc。
(ii) dynamic DNA encoding:
(a) color image to be encrypted that size is m × n is decomposed into RGB i.e. tri- components of R, G, B；
(b) each pixel of tri- components of R, G, B is converted to 8 binary numbers, is expressed as RB, GB, BB, size
It is all m × 8n；
(c) the regular matrix D of dynamic coding is combinede, by RB, GB, BBDynamically it is encoded to RD, GD, BD。
(iii) dynamic DNA obscures and diffusion operation:
(a) chaos matrix R is usedc, Gc, BcTo RD, GD, BDCarry out DNA operation of confusion；
(b) D is useddRandomly to determine which row uses R respectivelyd, Gd, BdRule carries out dynamic DNA and spreads operation；
(c) dynamic DNA diffusion operation is reduced to 8 as a result, using the inverse process of dynamic DNA encoding as decoding rule
Binary form；Then 8 metric forms are translated into, three components, which merge, obtains ciphertext graph picture.
(2) decrypt: due to the encryption method be it is full symmetric and reversible, decrypting process is the inverse process of encryption method.
The beneficial effects of the present invention are: (1) dynamic DNA encoding is used, keeps the histogram distribution of ciphertext more uniform,
Statistical Analysis Attacks can effectively be resisted；(2) operation is spread using dynamic DNA, increases it while improving encryption method safety
Robustness；(3) chaos initial value and the chaos matrix of generation are related to plaintext, can resist strongest chosen -plain attact, encrypt
System it is highly-safe.
The explanation of attached drawing
Attached drawing 1 is encryption flow figure of the invention.
Attached drawing 2 is the matrix generation process schematic that dynamic DNA obscures and spread operation.
Attached drawing 3 is that initial parameter generates process schematic.
Attached drawing 4 is the coding rule of DNA.
The XOR operation of confusion rule that attached drawing 5 is DNA.
Attached drawing 6 is initial parameter, the control parameter for adding salt code key and 4D chaos.
Attached drawing 7 is encryption and decryption as a result, (a)-(d) is figure to be encrypted；(e)-(h) is the ciphertext of encryption；(i)-(l) is decryption
Figure.
Attached drawing 8 is the dynamic of 2 test images and the ciphertext histogram of static state DNA encryption method.
Attached drawing 9 is 3 kinds of shearing attack test results of 2 test images.
Note: above-mentioned attached drawing is only schematical, is not drawn to draw.
Specific embodiment
The following detailed description of an a kind of typical case of the color image encrypting method based on dynamic DNA and 4D chaos of the present invention
The present invention is further described specifically in embodiment.It is necessarily pointed out that following embodiment is served only for the present invention
It is described further, should not be understood as limiting the scope of the invention, field person skilled in the art is according to above-mentioned
Summary of the invention makes some nonessential modifications and adaptations to the present invention, still falls within protection scope of the present invention.
The specific embodiment of the method for the invention is as follows:
(1) ciphering process (as shown in Figure 1) of image divides the following steps:
(i) the generation of initial code key and hybrid matrix:
(a) image to be encrypted is expressed as M, generates original code key K using hash algorithmo, it is expressed as Ko=Ha (M), wherein Ha
() is hash function；The original code key K that will be obtainedoWith add salt code key KsThe combination of head and the tail linking is carried out, and reuses Kazakhstan
Uncommon algorithm obtains initial code key Ki, it is expressed as Ki=Ha(Ko||Ks)；
(b) initial code key K is usediGenerate four initial parameter x of 4D chaos system0, y0, z0, u0, then use these
Initial parameter generates eight kinds of chaos matrixes, U therein by 4D chaos systemcFor dynamic DNA encoding, three kinds of chaos matrixes
Xc, Yc, ZcFor DNA operation of confusion, four kinds of chaos matrix Xd, Yd, Zd, UdOperation is spread for dynamic DNA；
(c) eight kinds of chaos matrix X will be obtainedc, Yc, Zc, Uc, Xd, Yd, Zd, UdIt is ranked up, according to sorting and obtain
Index, available two group indexes matrix Xci, Yci, Zci, UciAnd Rd, Gd, Bd, Udi；X thereinci, Yci, Zci
By obtaining matrix X' to 4 modulo operationsci, Y'ci, Z'ci, U thereinciBy obtaining dynamic DNA volume to 8 modulo operations
The regular matrix D of codee, U thereindiBy obtaining the regular matrix D of dynamic DNA diffusion operation to 3 modulo operationsd；Then,
X' thereinci, Y'ci, Z'ciThe matrix R of DNA operation of confusion is obtained by codingc, Gc, Bc, the process is as shown in Figure 2.
(ii) dynamic DNA encoding:
(a) color image to be encrypted that size is m × n is decomposed into RGB i.e. tri- components of R, G, B；
(b) each pixel of tri- components of R, G, B is converted to 8 binary numbers, is expressed as RB, GB, BB, size
It is all m × 8n；
(c) the regular matrix D of dynamic coding is combinede, by RB, GB, BBDynamically it is encoded to RD, GD, BD。
(iii) dynamic DNA obscures and diffusion operation:
(a) chaos matrix R is usedc, Gc, BcTo RD, GD, BDCarry out DNA operation of confusion；
(b) D is useddRandomly to determine which row uses R respectivelyd, Gd, BdRule carries out dynamic DNA and spreads operation；
(c) dynamic DNA diffusion operation is reduced to 8 as a result, using the inverse process of dynamic DNA encoding as decoding rule
Binary form；Then 8 metric forms are translated into, three components, which merge, obtains ciphertext graph picture.
(2) decrypt: due to the encryption method be it is full symmetric and reversible, decrypting process is the inverse process of encryption method.
The contents of the present invention are further explained below with reference to embodiment and attached drawing:
In the generating process of initial code key, hash algorithm is specially the hash algorithm of SHA-512；Initial code key KiGenerate four
Initial parameter x0, y0, z0, u0Specific method as shown in figure 3,512 bits to be first divided into 64 blocks of 8 bits, then by 64
A block is divided into 4 pieces of 16 groups, and block and group are denoted as b and g respectively, indicate are as follows: gj={b4j-3,b4j-2,b4j-1,b4j, wherein 1≤j
≤ 16, then, the production method of random seed s is sj=∏(b4j-m/ 128), wherein 0≤m≤3,1≤j≤16 are finally grouped
Initial parameter is generated, indicates x0=s1+s2+s3+s4, y0=s5+s6+s7+s8, z0=s9+s10+s11+s12, u0=s12+s14+s15+
s16。
During dynamic DNA encoding, the coding rule of DNA as shown in figure 4, in conjunction with dynamic coding regular matrix, just
It is able to achieve dynamic DNA encoding.
In DNA operation of confusion, using the operation of confusion of XOR, the XOR rule of DNA is as shown in Figure 5；DdDetermine Rd, Gd,
BdThe concrete mode of rule are as follows: if Dd[i]=0, then Rd; if Dd[i]=1, then Gd; if Dd[i]=2, then
Bd, the wherein line index of i representing matrix.
Add initial parameter, the control parameter of salt code key and 4D chaos as shown in Figure 6.
The encryption and decryption result that this method is implemented is as shown in fig. 7, the size of test image is 256 × 256.Fig. 7 (a)-(d) table
Show 4 kinds of images to be encrypted, shown in corresponding encrypted cipher text such as Fig. 7 (e)-(h), only in all correct situation of all code keys,
It can just access shown in corresponding Fig. 7 (i)-(l) and be decrypted correctly result.The histogram results of DNA encryption method such as Fig. 8 institute
Show, Fig. 8 (b) and 8 (b) respectively indicates the histogram of test image ciphertext shown in Fig. 7 (a) and 7 (b), 4 columns on the left side in figure
Shape figure indicate dynamic DNA method as a result, in figure the right 4 histogram graph representation static state DNA methods as a result, can from comparison
To find out the dynamic DNA encryption method ability with higher for resisting Statistical Analysis Attacks.Fig. 9 is the test of shearing attack, knot
Fruit shows the ability of dynamic DNA encryption method anti-shearing attack with higher, robustness with higher；Therefore, this method
Solve safety and the robustness problem of traditional static DNA encryption method.
Claims (1)
1. a kind of color image encrypting method based on dynamic DNA and 4D chaos, it is characterized in that carrying out as follows: (1) adding
It is close: (i) the generation of initial code key and hybrid matrix:
(a) image to be encrypted is expressed as M, generates original code key K using hash algorithmo, it is expressed as Ko=Ha (M), wherein Ha ()
For hash function；The original code key K that will be obtainedoWith add salt code key KsThe combination of head and the tail linking is carried out, and reuses Hash calculation
Method obtains initial code key Ki, it is expressed as Ki=Ha(Ko||Ks)；
(b) initial code key K is usediGenerate four initial parameter x of 4D chaos system0, y0, z0, u0, then use these
Initial parameter generates eight kinds of chaos matrixes, U therein by 4D chaos systemcFor dynamic DNA encoding, three kinds of chaos matrixes
Xc, Yc, ZcFor DNA operation of confusion, four kinds of chaos matrix Xd, Yd, Zd, UdOperation is spread for dynamic DNA；
(c) eight kinds of chaos matrix X will be obtainedc, Yc, Zc, Uc, Xd, Yd, Zd, UdIt is ranked up, according to what is sorted and obtain
Index, available two group indexes matrix Xci, Yci, Zci, UciAnd Rd, Gd, Bd, Udi；X thereinci, Yci, ZciThrough
It crosses to 4 modulo operations, obtains matrix X'ci, Y'ci, Z'ci, U thereinciBy obtaining dynamic DNA encoding to 8 modulo operations
Regular matrix De, U thereindiBy obtaining the regular matrix D of dynamic DNA diffusion operation to 3 modulo operationsd；Then,
In X'ci, Y'ci, Z'ciThe matrix R of DNA operation of confusion is obtained by codingc, Gc, Bc；
(ii) dynamic DNA encoding:
(a) color image to be encrypted that size is m × n is decomposed into RGB i.e. tri- components of R, G, B；
(b) each pixel of tri- components of R, G, B is converted to 8 binary numbers, is expressed as RB, GB, BB, size
It is all m × 8n；
(c) the regular matrix D of dynamic coding is combinede, by RB, GB, BBDynamically it is encoded to RD, GD, BD；
(iii) dynamic DNA obscures and diffusion operation:
(a) chaos matrix R is usedc, Gc, BcTo RD, GD, BDCarry out DNA operation of confusion；
(b) D is useddRandomly to determine which row uses R respectivelyd, Gd, BdRule carries out dynamic DNA and spreads operation；
(c) dynamic DNA diffusion operation is reduced to 8 as a result, using the inverse process of dynamic DNA encoding as decoding rule
Binary form；Then 8 metric forms are translated into, three components, which merge, obtains ciphertext graph picture；
(2) decrypt: due to the encryption method be it is full symmetric and reversible, decrypting process is the inverse process of encryption method.
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Cited By (6)
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| CN111294481A (en) * | 2020-01-14 | 2020-06-16 | 河南大学 | Image encryption method based on self-updating transformation, double random three-dimensional matrix scrambling and DNA calculation |
| CN111863149A (en) * | 2020-07-30 | 2020-10-30 | 郑州轻工业大学 | Method for realizing PI control of chaotic oscillation system based on DNA strand displacement reaction |
| CN111934845A (en) * | 2020-07-15 | 2020-11-13 | 湖南大学 | Image encryption method based on DNA coding |
| CN112381147A (en) * | 2020-11-16 | 2021-02-19 | 虎博网络技术(上海)有限公司 | Dynamic picture similarity model establishing method and device and similarity calculating method and device |
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| ES2935191A1 (en) * | 2022-11-16 | 2023-03-02 | Henigmyok S L | Palindrome-hybrid cryptographic processing method and system, to encrypt/decrypt messages and data in programmable devices or machines (Machine-translation by Google Translate, not legally binding) |
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