
For FullText PDF, please login, if you are a member of IEICE,
or go to Pay Per View on menu list, if you are a nonmember of IEICE.

Two Classes of 1Resilient PrimeVariable Rotation Symmetric Boolean Functions
Lei SUN FangWei FU Xuan GUANG
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E100A
No.3
pp.902907 Publication Date: 2017/03/01 Online ISSN: 17451337
DOI: 10.1587/transfun.E100.A.902 Type of Manuscript: LETTER Category: Cryptography and Information Security Keyword: rotation symmetric Boolean function, resilient, correlation immune, Walsh transform,
Full Text: PDF>>
Summary:
Recent research has shown that the class of rotation symmetric Boolean functions is beneficial to cryptographics. In this paper, for an odd prime p, two sufficient conditions for pvariable rotation symmetric Boolean functions to be 1resilient are obtained, and then several concrete constructions satisfying the conditions are presented. This is the first time that resilient rotation symmetric Boolean functions have been systematically constructed. In particular, we construct a class of 2resilient rotation symmetric Boolean functions when p=2^{m}+1 for m ≥ 4. Moreover, several classes of 1order correlation immune rotation symmetric Boolean functions are also got.


