All (2m + 1)-variable symmetric Boolean functions with submaximal algebraic immunity 2m−1 are described and constructed. The total number of such Boolean functions is 32 · 22m−3 +3m−2 · 24 − 2 for m ⩾ 2.
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Natl Univ Def Technol, Coll Comp, Changsha, Hunan, Peoples R China
Univ Tokyo, Inst Ind Sci, Tokyo, JapanNatl Univ Def Technol, Coll Comp, Changsha, Hunan, Peoples R China
Fu, Shaojing
Li, Chao
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Natl Univ Def Technol, Coll Sci, Changsha, Hunan, Peoples R ChinaNatl Univ Def Technol, Coll Comp, Changsha, Hunan, Peoples R China
Li, Chao
Matsuura, Kanta
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Univ Tokyo, Inst Ind Sci, Tokyo, JapanNatl Univ Def Technol, Coll Comp, Changsha, Hunan, Peoples R China
Matsuura, Kanta
Qu, Longjiang
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Natl Univ Def Technol, Coll Sci, Changsha, Hunan, Peoples R ChinaNatl Univ Def Technol, Coll Comp, Changsha, Hunan, Peoples R China