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Constructions of 2Rotation Symmetric SemiBent Functions with Degree Bigger than 2
Qinglan ZHAO Dong ZHENG Baodong QIN Rui GUO
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E102A
No.11
pp.14971503 Publication Date: 2019/11/01
Online ISSN: 17451337
DOI: 10.1587/transfun.E102.A.1497
Type of Manuscript: PAPER Category: Cryptography and Information Security Keyword: Boolean functions, 2rotation symmetric, semibent functions, algebraic degree,
Full Text: PDF(1.2MB)>>
Summary:
Semibent functions have important applications in cryptography and coding theory. 2rotation symmetric semibent functions are a class of semibent functions with the simplicity for efficient computation because of their invariance under 2cyclic shift. However, no construction of 2rotation symmetric semibent functions with algebraic degree bigger than 2 has been presented in the literature. In this paper, we introduce four classes of 2mvariable 2rotation symmetric semibent functions including balanced ones. Two classes of 2rotation symmetric semibent functions have algebraic degree from 3 to m for odd m≥3, and the other two classes have algebraic degree from 3 to m/2 for even m≥6 with m/2 being odd.

