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5. On （2^m + 1）-variable symmetric Boolean functions with submaximum algebraic im

On （2^m + 1）-variable symmetric Boolean functions with submaximum algebraic im

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：ceolq

【摘 要】

：

All (2m +1)-variable symmetric Boolean functions with submaximal algebraic immunity 2m-1 are described and constructed. The total number of such Boolean functio

【出 处】

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中国科学：数学英文版

【发表日期】

：

2009年1期

【关键词】

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SYMMETRIC BOOLEAN function ALGEBRAIC IMMUNITY CRYPTOGRAPHY 

【基金项目】

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supported by the Major State Basic Research Development Program of China (Grant No.2004CB3180004),National Natural Science Foundation of China (Grant No. 60433050)

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论文部分内容阅读

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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