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Browse Journals & Magazines > Information Theory, IEEE Tran ...> Volume:58 Issue:8 Help

On 2k -Variable Symmetric Boolean Functions With Maximum Algebraic Immunity k

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4 Author(s)
Hui Wang ; Shanghai Key Lab. of Intell. Inf. Process., Fudan Univ., Shanghai, China ; Jie Peng ; Yuan Li ; Haibin Kan

Given a positive even integer n, it is found that the weight distribution of any n-variable symmetric Boolean function with maximum algebraic immunity (AI) n/2 is determined by the binary expansion of n . Based on the foregoing, all n-variable symmetric Boolean functions with maximum AI are constructed. The amount is (2 wt(n)+1)2[log2n].

Published in:
Information Theory, IEEE Transactions on  (Volume:58 ,  Issue: 8 )

Date of Publication: Aug. 2012

Page(s):
5612 - 5624
ISSN :
0018-9448
INSPEC Accession Number:
12850506
Digital Object Identifier :
10.1109/TIT.2012.2201350
Product Type:
Journals & Magazines
Date of Publication :
25 May 2012
Date of Current Version :
10 July 2012
Issue Date :
Aug. 2012
Sponsored by :
IEEE Information Theory Society

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