Algebraic Construction of Semi Bent Function Via Known Power Function

P. Poojary, P. K. Harikrishnan, G. R. Vadiraja Bhatta

Research output: Contribution to journalArticlepeer-review

Abstract

The study of semi bent functions (2- plateaued Boolean function) has at- tracted the attention of many researchers due to their cryptographic and combinatorial properties. In this paper, we have given the algebraic construction of semi bent func- tions defined over the finite field F2n(n even) using the notion of trace function and Gold power exponent. Algebraically constructed semi bent functions have some special cryp- tographical properties such as high nonlinearity, algebraic immunity, and low correlation immunity as expected to use them effectively in cryptosystems. We have illustrated the existence of these properties with suitable examples.

Original languageEnglish
Pages (from-to)359-367
Number of pages9
JournalTurkish World Mathematical Society Journal of Applied and Engineering Mathematics
Volume11
Issue number2
Publication statusPublished - 2021

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Numerical Analysis
  • Mathematical Physics
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics
  • Applied Mathematics

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