On (2~m + 1)-variable symmetric Boolean functions with submaximum algebraic immunity 2^(m-1)  被引量:4

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

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作  者:LIAO QunYing1, LIU Feng2 & FENG KeQin2 1 College of Mathematics and Software Sciences, Sichuan Normal University, Chengdu 610066, China 2 Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China 

出  处:《Science China Mathematics》2009年第1期17-28,共12页中国科学:数学(英文版)

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

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 functions is 32 ·22m-3 +3m-2 · 24 - 2 for m≥2.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.

关 键 词:SYMMETRIC BOOLEAN function ALGEBRAIC IMMUNITY CRYPTOGRAPHY 

分 类 号:O153.2[理学—数学]

 

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