A Novel Method for Constructing the S-Box Based on Spatiotemporal Chaotic Dynamics

A novel construction method for a random S-box by using the spatiotemporal nonlinear chaotic system is proposed. The chaotic sequences of the spatiotemporal chaotic system are applied to construct an initial S-box. Then, the permutation operation between independent chaotic sequences is performed to...

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Published inApplied sciences Vol. 8; no. 12; p. 2650
Main Authors Liu, Liyan, Zhang, Yingqian, Wang, Xingyuan
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.12.2018
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Abstract A novel construction method for a random S-box by using the spatiotemporal nonlinear chaotic system is proposed. The chaotic sequences of the spatiotemporal chaotic system are applied to construct an initial S-box. Then, the permutation operation between independent chaotic sequences is performed to shuffle the elements of the S-box randomly. In comparisons with the former schemes, the results of the performance analysis indicate that the obtained S-box has a better output bit independence criterion and a stronger ability to resist linear password attacks. It also has a high dimensional feature due to the spatiotemporal chaotic dynamical behaviors. The proposed scheme holds superior cryptographic features.
AbstractList A novel construction method for a random S-box by using the spatiotemporal nonlinear chaotic system is proposed. The chaotic sequences of the spatiotemporal chaotic system are applied to construct an initial S-box. Then, the permutation operation between independent chaotic sequences is performed to shuffle the elements of the S-box randomly. In comparisons with the former schemes, the results of the performance analysis indicate that the obtained S-box has a better output bit independence criterion and a stronger ability to resist linear password attacks. It also has a high dimensional feature due to the spatiotemporal chaotic dynamical behaviors. The proposed scheme holds superior cryptographic features.
[...]in these aforementioned chaotic S-box construction schemes, the output Bit Independence Criterion (BIC) and ability to resist linear password attacks were not ideal. [...]the applied chaotic systems are low dimensional systems. [...]it can resist the degradation of finite precision computation due to its high dimensional feature, which can increase the randomness of elements in the S-box. Additionally, the NCML chaotic system has been used in secure communication schemes due to its cryptographic features [30,31]; 2. Since the chaotic sequences generated by the NCML system are independent, we apply these independent chaotic sequences to implement the permutation and shuffle of the S-box, which can improve its BIC property and ability to resist linear password attacks; 3. [...]the new sequence is reconverted to a matrix, and all the elements of the matrix are permuted by using N independent chaotic sequences.
Author Wang, Xingyuan
Liu, Liyan
Zhang, Yingqian
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Snippet A novel construction method for a random S-box by using the spatiotemporal nonlinear chaotic system is proposed. The chaotic sequences of the spatiotemporal...
[...]in these aforementioned chaotic S-box construction schemes, the output Bit Independence Criterion (BIC) and ability to resist linear password attacks were...
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StartPage 2650
SubjectTerms Algorithms
chaos
Chaos theory
Construction
coupled map lattices
Data encryption
Design
non-adjacent coupled map lattices
S-box
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Title A Novel Method for Constructing the S-Box Based on Spatiotemporal Chaotic Dynamics
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