On (2m + 1)-variable symmetric Boolean functions with submaximum algebraic immunity 2m−1

On (2m + 1)-variable symmetric Boolean functions with submaximum algebraic immunity 2m−1
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DOI:
10.1007/s11425-008-0131-y
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发表时间:
2009-01
期刊:
Science in China Series A: Mathematics
影响因子:
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通讯作者:
Qunying Liao;Fengmei Liu;K. Feng
Qunying Liao;Fengmei Liu;K. Feng
中科院分区:
其他
文献类型:
--
作者:
Qunying Liao;Fengmei Liu;K. Feng

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描述并构造了所有次极大代数免疫度为2m− 1的(2m+ 1)元对称布尔函数.这样的布尔函数的总数是32· 22m−3+3m−2· 24− 2 form 102。
All (2m+ 1)-variable symmetric Boolean functions with submaximal algebraic immunity 2m−1are described and constructed. The total number of such Boolean functions is 32· 22m−3+3m−2· 24− 2 form⩾ 2.