Algebraic Construction of Near-Bent and APN Functions

Prasanna Poojary, Harikrishnan Panackal, Vadiraja G.R. Bhatta

Research output: Contribution to journalArticle

Abstract

Boolean functions play an important role in symmetric cryptosystems. In this paper, we have constructed near-bent Boolean functions algebraically with the help of Niho power function exponent in the trace form over a finite field. Specific cryptographic properties which may gain attention with suitable modifications are observed using these functions. If exponents are either Mersenne numbers or Fermat numbers, then the resulting functions are found to be APN (almost perfect nonlinear).

Original languageEnglish
Article number93
JournalAdvances in Applied Clifford Algebras
Volume29
Issue number5
DOIs
Publication statusPublished - 01-11-2019

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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