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One AES S-box to increase complexity and its cryptanalysis
作者单位:Liu Jingmei(National Key Lab. of Integrated Service Networks, Xidian Univ., Xi'an 710071, P.R. China) ; Wei Baodian(Information Science and Technology School of Sun Yat-sen Univ., Guangzhou 510275, P.R. China) ; Wang Xinmei(National Key Lab. of Integrated Service Networks, Xidian Univ., Xi'an 710071, P.R. China) ;
摘    要:It is well known that the algebraic expression of ASS S-box is very simple and only 9 terms are involved. Hence, AES security is suspected although there is no vulnerability on it so far. To eliminate the weakness of extremely small terms in the algebraic expression of AES S-box, one improved AES S-box is proposed, which preserves the algebraic degree invariable but significantly increases the number of its algebraic expression terms from 9 to 255. At the same time, Boolean function has good characters in balance and strict avalanche criterion (SAC), etc. Finally, it is proved that the improved AES S-box scheme is secure gainst the powerful known differential and linear cryptanalysis.

收稿时间:26 November 2005

One AES S-box to increase complexity and its cryptanalysis
Authors:Liu Jingmei  Wei Baodian  Wang Xinmei
Institution:1. National Key Lab. of Integrated Service Networks, Xidian Univ., Xi'an 710071, P.R. China
2. Information Science and Technology School of Sun Yat-sen Univ., Guangzhou 510275, P.R. China
Abstract:It is well known that the algebraic expression of ASS S-box is very simple and only 9 terms are involved. Hence, AES security is suspected although there is no vulnerability on it so far. To eliminate the weakness of extremely small terms in the algebraic expression of AES S-box, one improved AES S-box is proposed, which preserves the algebraic degree invariable but significantly increases the number of its algebraic expression terms from 9 to 255. At the same time, Boolean function has good characters in balance and strict avalanche criterion (SAC), etc. Finally, it is proved that the improved AES S-box scheme is secure gainst the powerful known differential and linear cryptanalysis.
Keywords:AES  Sbox  Strict avalanche criterion
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