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01-09-2015 | Issue 3/2015

Designs, Codes and Cryptography 3/2015

Plateaued functions and one-and-half difference sets

Journal:
Designs, Codes and Cryptography > Issue 3/2015
Author:
Oktay Olmez
Important notes
Communicated by A. Pott.

Abstract

We construct an infinite family of \(1\frac{1}{2}\)-difference sets in non-cyclic abelian \(p\)-groups. In particular, we examine the construction in \(2\)-groups to discover the useful relationship between \(1\frac{1}{2}\)-difference sets and certain Boolean functions.

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