New method to determine algebraic expression of Rijndael S-box

Authors:
Liu Jingmei;Wei Baodian;Wang Xinmei
Affiliations:
Xidian Univ., Ministry of Education, Xi'an;School of Sun Yat-sen University;Xidian Univ., Ministry of Education, Xi'an
Venue:
InfoSecu '04 Proceedings of the 3rd international conference on Information security
Year:
2004

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Abstract

By the discovered correlation between linear functions over GF(qn) and matrices over GF (q), a new scheme is presented to resolve the algebraic expression of Rijndael S-box in this paper. This new scheme has the advantage of predetermining in the case of a given random base over GF(qn). The reason why only 9 terms are involved in the algebraic expression of Rijndael S-box is presented, which corrects the available inaccurate illustration. We finally conclude all the available methods to determine the algebraic expression of Rijndael S-box.