CN103888637B - The method of multiway images digital information chaos encryption - Google Patents
The method of multiway images digital information chaos encryption Download PDFInfo
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Abstract
The invention discloses a kind of method of multiway images digital information chaos encryption, comprise the following steps：Set up n dimension discrete chaotic system kinetics equations；Using above-mentioned 7 degree of freedom discrete chaotic system kinetics equation, after the n m+1 real number chaos sequences that iteration is produced are rounded, binary digital information is converted to by digital information encryption equipment, then the digital information with n m+1 width images carries out XOR, respectively obtains the ciphertext value of n m+1 width images；Ciphertext value is sent to digital information decipher by digital transmission channel again.Only realize being encrypted 3 tunnel image informations simultaneously using a 7 degree of freedom chaos system.Due to using Cascading Closed Loop principle, transmitting terminal system has identical drive signal with receiving terminal system, can realize that strict synchronization, without being influenceed by useful information size modulations, in the case where transmitting terminal is matched with receiving terminal parameter, makes the information for decrypting have reduction degree high.
Description
Technical field
The present invention relates to a kind of method of Image Chaos encryption, specifically a kind of multiway images digital information chaos encryption
Method.
Background technology
The problem of chaos how is generated in continuous or discrete-time system and then becomes natural science in recent years and work
A forward position focus problem in journey application field.1994, American scientist Schiff et al. was in well-known International Periodicals
Published an article on Nature and propose the concept of Anti-control for chaos in the world first.It is 1996 after 2 years, relevant discrete
The revertive control Study on Problems of time system achieves substantial progress in the world.The revertive control method of discrete-time system is built
Stand on the basis of chaos existence criterion, it is proposed that be typically designed criterion with versatility and universality, for example, obtain
Successful Chen-Lai algorithms and Wang-Chen algorithms etc., so as to solve the one of discrete-time system revertive control in theory
As problem.
Digital communication system is with its strong antijamming capability, it is easy to encrypt, it is easy to the features such as large-scale integrated, in the communications industry
It is middle will substitution analogue communication and in the highest flight.And, digital chaotic system compares simulation chaos system has simple structure, easily
In realization, the advantage such as security performance is high, chaotic signal is the similar random wide spectrum signal produced by certainty equation, with excellent
Good correlation properties.Chaos sequence is complicated, be difficult to long-term forecast, and need to only change acquisition by systematic parameter and state initial value
Substantial amounts of excellent sequence, therefore chaos sequence is particularly suitable for being applied in secret communication and field of information encryption.Thus, chaos skill
Application study of the art in digital secret communication also just has more realistic meaning.At present, digital chaotic secure communication technology is ground
Study carefully and be all based on greatly one-dimensional and Two Dimensional Chaotic Systems.There are some researches show Low-dimensional Chaotic Systems confidentiality is inadequate, and it is difficult real
Existing motor synchronizing.It is therefore desirable to explore the motor synchronizing encryption method based on high-dimension chaotic system or even hyperchaos.
At present, most chaos system realizes the encryption to single channel image, therefore for how to build multi-dimension Chaos system
It is a direction for research that system produces multichannel chaos sequence to be encrypted multiple image simultaneously.
State Intellectual Property Office disclosed Publication No. CN102831569A on December 19th, 2012, and patent name is one
Plant the patent of invention document towards the digital picture Choice encryption method of cellular service, the patent document：Including fraction ciphertext to be added
The selection of wavelet low frequency subband, the determination of Image Chaos encryption key, four parts of the cryptographic operation of image and closed quality evaluation；
Wherein, the determination of Image Chaos encryption key, will realize fraction wavelet transformation and chaos encryption it needs to be determined that following parameter：
(1) the control parameter α of chaos sequence, is given by user；
(2) the yardstick β of image wavelet transform, is given by user；
(3) the fractional order γ of fraction wavelet transformation, and meet 0<γ<2, be given by user；
(4) chaos sequence initial value X (0), its determination process is as follows：
It is m bits that step 1. sets original image, optional 5 pixels P1, P2, P3, P4 from selected subband,
P5, the chaos sequence initial value of the subband is obtained by this 5 pixel values of point；
Step 2. calculates the chaos sequence initial value of selected wavelet sub-band according to the following formula：
Aforementioned four parameter alpha, beta, gamma, X (0) constitutes the key of selected sub-band images encryption；
The cryptographic operation of image is as follows：Step 1. is for selected wavelet low frequency subband, if the size of the subband is N1
× N2, the series of starting values X (0) generated using this fraction wavelet low frequency subband, chaos sequence is generated according to following mapping：X
(n+1)=cos (α arccos (X (n)) (4), wherein, α is control parameter, and X (n) ∈ [- 1,1], the sequence for now being generated
Row are chaos, because this chaos sequence is ambipolar, the unipolarity sequence in [0,1] are converted it into according to following conversion
Row：The length of this sequence is taken as N1 × N2, and this N1 × N2 numerical value is converted into the chaos matrix of N1 rows N2 row, is designated as U；
Step 2. is encrypted to selected fraction wavelet low frequency subband, and encryption is calculated as follows：Wherein, it is
XOR operation, ValueNew (i, j), ValueOld (i, j) be respectively after the encryption of selected fraction wavelet low frequency subband with encryption before
In the low frequency sub-band fraction wavelet coefficient of the i-th row jth row；
Step 3. is replaced after the fraction wavelet low frequency subband before encryption with the fraction wavelet low frequency subband after encryption, is carried out
Wavelet inverse transformation, obtains initial encryption image；
The initial encryption image segmentation that step 4. will be obtained into 4 width size identical subgraphs, afterwards to this 4 width subgraph
After doing rotation treatment according to clockwise direction, the image for being obtained is exactly final encrypted image.
The technical scheme of above-mentioned patent is entirely different with the technical scheme of this patent.
The content of the invention
It is an object of the invention to provide a kind of method of the multiway images chaos encryption of strong security.The method passes through FPGA
Hardware design 7 degree of freedom chaos discrete system, makes it that multi-path digital chaos sequence is produced under certain precision, using the digital chaos
Sequence is encrypted simultaneously as key to multiway images information, produces multichannel chaos encryption signal.
To achieve the above object, the technical solution adopted in the present invention is：
The method of multiway images digital information chaos encryption, comprises the following steps：
A, n dimension discrete chaotic system kinetics equations are set up, the formula being encrypted to n-m+1 width images is as follows：
Wherein,It is feedback controller, σ in formulajIt is gain control parameter, εj
It is gjThe upper bound of output, 1 represents the number of feedback controling variable, m=1,2 ... ... n；
B, discrete chaotic system kinetics equation is tieed up using above-mentioned n, with being continuously increased for k values, constantly changed
Generation, the n-m+1 real number chaos sequence x that iteration is producedm(k),xm+1(k),,xnK () rounds after, by digital information encryption equipment
Be converted to binary digital information；
The digital information s of the n-m+1 width images that C, digital information encryption equipment will read and storedm(k),sm+1(k),,sn
(k), in calling in the DDR internal memories in digital information encryption equipment；
D, cryptographic calculation：Using XOR formulaN-m+1 real number chaos after rounding
Sequence xm(k),xm+1(k),,xnThe digital information s of (k) and n-m+1 width imagesm(k),sm+1(k),,snK () carries out XOR,
Respectively obtain the ciphertext value p of n-m+1 width imagesm(k),pm+1(k),,pn(k)；
E, information transmission：Digital information encryption equipment is respectively simultaneously by the ciphertext value p of n-m+1 width imagesm(k),pm+1(k),,pn
K () sends digital information decipher to by digital transmission channel；
F, digital information decipher are using the inverse operation of cryptographic calculation to n-m+1 ciphertext value pm(k),pm+1(k),,pn(k)
It is decrypted.
The n-m+1 width image is 3~6 width images.
Method to 3 road image digitization information chaos encryptions is as follows：
A, the n dimension discrete chaotic system kinetics equations using foundation, work as m=5, during n=7,7 degree of freedom discrete chaotic system
Kinetics equation is as follows：
Wherein, ε1=1.8 × 105,σ1=1.6 × 103；ε2=1.4 × 105,σ2=1.7 × 103；ε3=1.9 × 105,σ3=1.1 ×
103；
B, using above-mentioned 7 degree of freedom discrete chaotic system kinetics equation, with being continuously increased for k values, constantly changed
Generation, 3 real number chaos sequence x that iteration is produced5(k),x6(k),x7K () rounds after, be converted to by digital information encryption equipment
Binary digital information；
The digital information s of the 3 road images that C, digital information encryption equipment will read and stored5(k),s6(k),s7K (), adjusts
In entering the DDR internal memories in digital information encryption equipment；
D, cryptographic calculation：Using XOR formula3 real number chaos sequences after rounding
x5(k),x6(k),x7The digital information s of (k) and 3 road images5(k),s6(k),s7K () carries out XOR, obtain 3 simultaneously respectively
The ciphertext value p of road image5(k),p6(k),p7(k)；
E, information transmission：Digital information encryption equipment is respectively simultaneously by the ciphertext value p of 3 road images5(k),p6(k),p7K () leads to
Cross digital transmission channel and send digital information decipher to；
F, digital information decipher are using the inverse operation of cryptographic calculation to 3 ciphertext value p5(k),p6(k),p7K () is solved
It is close.
In the step of described information is transmitted E, information transmission transmits a line to the pixel in 3 width images using encryption a line
Information transmission mode.Digital information encryption equipment respectively simultaneously passes through the ciphertext value of each pixel in the first row of 3 road images
Digital transmission channel sends digital information decipher to, is then back in step D to each pixel in the second row of 3 road images
XOR is carried out, the ciphertext value of each pixel in the second row of 3 road images is obtained, digital information solution is then transferred to
Close device；By that analogy, the information transmission of the ciphertext value of the pixel of all rows of 3 road images is completed.
Beneficial effects of the present invention：
(1) only realized to 3 tunnel image informations while being encrypted using a 7 degree of freedom chaos system.
(2) due to using Cascading Closed Loop principle, transmitting terminal system and receiving terminal system have identical drive signal,
Strict synchronization can be realized without being influenceed by useful information size modulations, in the situation that transmitting terminal is matched with receiving terminal parameter
Under, make the information for decrypting that there is reduction degree high.
Brief description of the drawings
The present invention is described in further detail with reference to the accompanying drawings and detailed description：
Fig. 1 is the x that 7 degree of freedom chaos system is produced1(k)-x2The phasor of (k)；
Fig. 2 is the 7 degree of freedom drive system of digital information encryption equipment；
Fig. 3 is the 7 degree of freedom response system of digital information decipher；
Fig. 4 is AES flow chart；
Fig. 5 is decipherment algorithm flow chart.
Specific embodiment
Embodiment：To the hardware configuration of the method for 3 road image digitization information chaos encryptions：With two pieces of XUP Virtex-II
FPGA plates respectively as digital information encryption equipment and digital information decipher, set up one using two pieces of FPGA development boards
Server-Client models, set up the respective socket of Server and Client, as the basis of intercommunication.Multichannel drives
The FPGA plates of chaotic systems encryption equipment are responsible for being transmitted cipher-text information as Client ends；Multichannel chaos motion Solutions of Systems
The cipher-text information that the FPGA plates of close device are transmitted as Server ends, responsible reception.In addition, digital information transmission channel is used
Datagram formula Socket type transfers, i.e., be served by corresponding to connectionless UDP, employs the UPD agreements of transport layer, works as clothes
When business device termination receives the dependent instruction of client, the view data for transmitting can be quickly and efficiently received.
To the method for 3 road image digitization information chaos encryptions, 7 degree of freedom chaos system is employed, it is mixed with system generation encryption
Ignorant sequence has the advantage that：One is that the more general low-dimensional system of system architecture is complicated, and the real-valued sequence of system variable more can not
Prediction；7 degree of freedom chaos system one has six attractor phasors, here with x1(k)-x2As a example by (k) phasor, as shown in Figure 1.From figure
Can intuitively find out, the distribution of point is more concentrated, be global bounded.Two is that the system realizes motor synchronizing, even if driving and responding
Also can correctly be decrypted when system initial value is different, this illustrates when data have fractional transmission mistake, incited somebody to action
Not impact effect, the key space of AES will be much higher than Low-dimensional Chaotic Systems, specific 3 road image digitization information chaos
The method of encryption is as follows：
A, the n dimension discrete chaotic system kinetics equations using foundation, work as m=5, during n=7,7 degree of freedom discrete chaotic system
Kinetics equation is as follows：
Wherein, ε1=1.8 × 105,σ1=1.6 × 103；ε2=1.4 × 105,σ2=1.7 × 103；ε3=1.9 × 105,σ3
=1.1 × 103。
B, using above-mentioned 7 degree of freedom discrete chaotic system kinetics equation, choose x5(k),x6(k),x7K () is (in order to be able to incite somebody to action
Three variables of information encryption equipment are distinguished with three variables of digital information decipher, by the x of information encryption equipment5(k),x6
(k),x7K () three variable-definitions areOther parameters in 7 degree of freedom discrete chaotic system kinetics equation
It is similar with it；By the x of information decipher5(k),x6(k),x7K () three variable-definitions are7 degree of freedom is discrete
Other parameters in chaos system kinetics equation are similar with it), the real number chaos sequence produced after three iteration of variables is rounded
Afterwards, binary digital information is converted to by digital information encryption equipment；
The digital information s of the 3 road images that C, digital information encryption equipment will read and stored5(k),s6(k),s7K (), adjusts
In entering the DDR internal memories in digital information encryption equipment.Detailed process is：In encryption transmitting terminal, that is, digital information encryption equipment, will
24 BMP figures of 3 160 × 120 are stored in the CF cards in it, are easy to the image reading of next step, then by slow in it
Area is rushed, during 3 road images are read in into DDR internal memories respectively；
D, cryptographic calculation：Using XOR formula3 real number chaos sequences after rounding
x5(k),x6(k),x7The digital information s of (k) and 3 road images5(k),s6(k),s7K () carries out XOR, obtain 3 simultaneously respectively
The ciphertext value p of road image5(k),p6(k),p7(k), by p5(k),p6(k),p7K () is applied to digital letter as feedback controling variable
On the equation of the 7 degree of freedom drive system (as shown in Figure 2) of encryption for information device, the 7 degree of freedom drive system shape of digital information encryption equipment is obtained
State equation is as follows：
Similarly, for digital information decipher is as data receiver, by p5(k),p6(k),p7K () is used as feedback
Control variables is applied on the equation of 7 degree of freedom response system (as shown in Figure 3) of digital information decipher, obtains following numeral letter
Cease the 7 degree of freedom response system state equation of decipher：
In above-mentioned two equation, wherein controller
Matrix
Meanwhile,
As shown in figure 4, specific ciphering process is：The drive system of digital information decipher is judged by feedback information
It is no to receive image information, if after receiving feedback information, the i-th of 3 width original images are read respectively by the operation of program
J-th capable pixel, and cryptographic calculation is carried out, last pixel of the row is then determined whether, if it is not, then to this
Capable+1 pixel of jth is encrypted computing, if last pixel of the row, then the i-th row in 3 road images is all
All encryption is finished pixel, then into information transfer step.
E, information transmission：Digital information encryption equipment is respectively simultaneously by the ciphertext value p of 3 road images5(k),p6(k),p7K () leads to
Cross digital transmission channel and send digital information decipher to.
Specifically information transmission is：The information transmission mode of a line is transmitted using encryption a line to the pixel in 3 width images,
In other words, information transmission is used and transmitted in units of a line, and digital information encryption equipment is respectively simultaneously by 3 road images
The first row in the ciphertext value of each pixel digital information decipher is sent to by digital transmission channel, be then back to step
XOR is carried out to each pixel in the second row of 3 road images in D, each pixel in the second row of 3 road images is obtained
Ciphertext value, be then transferred to digital information decipher；By that analogy, the pixel of all rows of 3 road images of completion is close
The information transmission of text value.
F, digital information decipher are using the inverse operation of cryptographic calculation to 3 ciphertext value p5(k),p6(k),p7K () is solved
It is close.
It is specific as follows：In Server receiving terminals, that is, digital information decipher, judge whether to receive by feedback information
To the cipher-text information transmitted from digital information encryption equipment, if after receiving feedback information, distinguished by the operation of program
J-th pixel of the i-th row of 3 width original images is read, and is decrypted computing, then determine whether the row last
Pixel, if it is not, then be decrypted computing to+1 pixel of jth of the row, if last pixel of the row, then 3
All decryption is finished all pixels of the i-th row in the image of road, and its decryption flow is as shown in figure 5, by that analogy, will continue to
The pixel of the i+1 rows transmitted from digital information encryption equipment transmitting terminal, by that analogy, carries out similar decryption computing, until 3
Whole pixels decryption of road image is finished.
The above is the preferred embodiment of the present invention, can not limit the right model of the present invention with this certainly
Enclose, it is noted that for those skilled in the art, technical scheme is modified or is waited
With replacing, without departure from the protection domain of technical solution of the present invention.
Claims (4)
1. a kind of method of multiway images digital information chaos encryption, it is characterised in that：Comprise the following steps：
A, n dimension discrete chaotic system kinetics equations are set up, the formula being encrypted to n-m+1 width images is as follows：
Wherein,It is feedback controller, σ in formulajIt is gain control parameter, εjIt is gj
The upper bound of output, 1 represents the number of feedback controling variable, m=1,2 ... ... n；
B, discrete chaotic system kinetics equation is tieed up using above-mentioned n, with being continuously increased for k values, carry out constantly iteration, general
The n-m+1 real number chaos sequence x that iteration is producedm(k),xm+1(k),,xnK () rounds after, changed by digital information encryption equipment
It is binary digital information；
The digital information s of the n-m+1 width images that C, digital information encryption equipment will read and storedm(k),sm+1(k),,sn(k),
In calling in the DDR internal memories in digital information encryption equipment；
D, cryptographic calculation：Using XOR formulaN-m+1 real number chaos sequence after rounding
xm(k),xm+1(k),,xnThe digital information s of (k) and n-m+1 width imagesm(k),sm+1(k),,snK () carries out XOR, respectively
Obtain the ciphertext value p of n-m+1 width imagesm(k),pm+1(k),,pn(k)；
E, information transmission：Digital information encryption equipment is respectively simultaneously by the ciphertext value p of n-m+1 width imagesm(k),pm+1(k),,pn(k)
Digital information decipher is sent to by digital transmission channel；
F, digital information decipher are using the inverse operation of cryptographic calculation to n-m+1 ciphertext value pm(k),pm+1(k),,pn(k) carry out
Decryption.
2. the method for multiway images digital information chaos encryption according to claim 1, it is characterised in that：The n-m+1
Width image is 3~6 width images.
3. the method for multiway images digital information chaos encryption according to claim 2, it is characterised in that：
Method to 3 road image digitization information chaos encryptions is as follows：
A, the n dimension discrete chaotic system kinetics equations using foundation, work as m=5, during n=7,7 degree of freedom discrete chaotic system power
Learn equation as follows：
Wherein, ε1=1.8 × 105,σ1=1.6 × 103；ε2=1.4 × 105,σ2=1.7 × 103；ε3=1.9 × 105,σ3=1.1
×103；
B, using above-mentioned 7 degree of freedom discrete chaotic system kinetics equation, with being continuously increased for k values, carry out constantly iteration,
3 real number chaos sequence x that iteration is produced5(k),x6(k),x7K () rounds after, two are converted to by digital information encryption equipment
The digital information of system；
The digital information s of the 3 road images that C, digital information encryption equipment will read and stored5(k),s6(k),s7K (), calls in number
In DDR internal memories in word information encryption equipment；
D, cryptographic calculation：Using XOR formula3 real number chaos sequence x after rounding5
(k),x6(k),x7The digital information s of (k) and 3 road images5(k),s6(k),s7K () carries out XOR, obtain 3 tunnels simultaneously respectively
The ciphertext value p of image5(k),p6(k),p7(k)；
E, information transmission：Digital information encryption equipment is respectively simultaneously by the ciphertext value p of 3 road images5(k),p6(k),p7K () is by number
Word transmission channel sends digital information decipher to；
F, digital information decipher are using the inverse operation of cryptographic calculation to 3 ciphertext value p5(k),p6(k),p7K () is decrypted.
4. the method for multiway images digital information chaos encryption according to claim 3, it is characterised in that：Described information is passed
In the step of sending E, the information transmission mode of a line is transmitted using encryption a line to the pixel in 3 width images.
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| CN104135669B8 (en) * | 2014-07-16 | 2017-10-10 | 广东工业大学 | A kind of video secret communication method of multi-dimension Chaos mapping |
| TWI571092B (en) * | 2015-09-04 | 2017-02-11 | 崑山科技大學 | Encryption system for safe transmission of network data with adaptive synchronization of hyperchaotic signals free from external interference and parameter disturbance, and method for the same |
| CN108365946B (en) * | 2018-01-31 | 2023-04-11 | 国网河南省电力公司潢川县供电公司 | Energy internet communication safety system and method based on chaotic system array |
| CN108199825A (en) * | 2018-03-14 | 2018-06-22 | 长安大学 | A kind of file-type read-write secret communication method based on chaos system |
| CN108683490B (en) * | 2018-07-11 | 2023-10-31 | 佛山科学技术学院 | Multi-scroll chaotic circuit |
| CN109726577B (en) * | 2019-01-10 | 2020-08-18 | 首都师范大学 | Image encryption method and device |
| CN111932430B (en) * | 2020-01-15 | 2023-05-26 | 南京信息工程大学 | Image encryption method based on FPGA |
| CN113257260A (en) * | 2021-04-09 | 2021-08-13 | 中国质量认证中心 | Transmission method and terminal equipment for secret communication of mobile phone |
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Inventor after: Wang Qianxue Inventor after: Yu Simin Inventor after: Zheng Hanzhong Inventor after: Lv Jinhu Inventor after: Xu Xiangqian Inventor before: Wang Qianxue Inventor before: Yu Simin Inventor before: Zheng Hanzhong Inventor before: Xu Xiangqian |
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