On the construction of multi-output Boolean functions with optimal algebraic immunity |
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| Authors: | ZHANG Jie SONG ShouChao DU Jiao & WEN QiaoYan |
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| Affiliation: | 1 School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,China; 2 State Key Laboratory of Networking and Switching Technology,Beijing University of Posts and Telecommunications,Beijing 100876,China; 3 Department of Mathematics,Xinxiang University,Xinxiang 453003,China |
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| Abstract: | In this paper,we show a construction of multi-output Boolean functions with optimal algebraic immunity.And,the relationship between the algebraic immunity of a multi-output Boolean function and those of its component functions is studied.We show that all the component functions,together with their nonzero linear combination,of the multi-output Boolean functions achieved by this construction have optimal algebraic immunity simultaneously. |
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| Keywords: | algebraic immunity Boolean functions algebraic attacks annihilators |
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