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Systematic Constructions of Rotation Symmetric Bent Functions, 2-Rotation Symmetric Bent Functions, and Bent Idempotent Functions.
- Source :
-
IEEE Transactions on Information Theory . Jul2017, Vol. 63 Issue 7, p4658-4667. 10p. - Publication Year :
- 2017
-
Abstract
- Rotation symmetric bent functions and their generation two-rotation symmetric bent functions are two classes of cryptographically significant Boolean functions. However, few constructions have been presented in the literature, which either have restriction on integer $n$ or have algebraic degree no more than 4. In this paper, for any even integer $n\ge 4$ , three classes of bent functions are presented respectively. Most notably, the proposed $n$ -variable rotation symmetric bent functions and two-rotation symmetric bent functions can have any possible algebraic degree ranging from 2 to $n/2$ . Besides, we obtain bent idempotent functions with the maximal algebraic degree $n/2$ . [ABSTRACT FROM PUBLISHER]
- Subjects :
- *BENT functions
*HADAMARD codes
*IDEMPOTENTS
*HAMMING distance
*CRYPTOGRAPHY
Subjects
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 63
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 123685209
- Full Text :
- https://doi.org/10.1109/TIT.2016.2621751