Rotation symmetric Boolean functions in even-variable with maximum algebraic immunity
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Abstract:
Algebraic immunity has been considered as one of significant properties for Boolean functions. Two constructions of rotation symmetric Boolean functions (RSBFs) in even-variable with maximum algebraic immunity(MAI) were proposed. Furthermore, the nonlinearity of constructed RSBFs were investigated under special cases of Construction 2. When n≥18, the constructed MAI RSBFs by using Construction 3 have higher nonlinearity than that of all known MAI RSBFs in even-variable.
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DONG Deshuai, LI Chao, QU Longjiang, FU Shaojing. Rotation symmetric Boolean functions in even-variable with maximum algebraic immunity[J]. Journal of National University of Defense Technology,2012,34(4):85-89.