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2004•Unpublished venueRequires access

New method to determine algebraic expression of Rijndael S-box

Jingmei Liu, Baodian Wei, Xinmei Wang

Open publisher page 3 citations

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.

About this research paper

What this paper is about

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.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Advanced Encryption Standard, Expression (computer science), Algebraic expression, Algebraic number, S-box, Scheme (mathematics), Computer science, Mathematics

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