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Two classes of 1-resilient semi-bent functions based on disjoint linear codes.
- Source :
-
Discrete Applied Mathematics . Dec2024, Vol. 358, p147-157. 11p. - Publication Year :
- 2024
-
Abstract
- Semi-bent functions are Boolean functions with almost optimal nonlinearity, and the number of input variables can be either even or odd. Semi-bent functions are widely used in the design of symmetric cryptographic systems and CDMA communication systems. In this paper, we provide two classes of construction methods to obtain semi-bent functions. Different from previous method usually used, our constructions are based on the disjoint linear codes. And it is proved that the constructed semi-bent functions can be 1-resilient. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LINEAR codes
*BOOLEAN functions
*TELECOMMUNICATION systems
Subjects
Details
- Language :
- English
- ISSN :
- 0166218X
- Volume :
- 358
- Database :
- Academic Search Index
- Journal :
- Discrete Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 179498126
- Full Text :
- https://doi.org/10.1016/j.dam.2024.06.040