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New Method for Designing Binary 8x8 Matrices With Branch Number 5 Using Quasigroups

Authors:
Vesna Dimitrova
Verica Bakeva
Zlatka Trajcheska

Keywords: quasigroup; Boolean functions; branch number; binary matrices.

Abstract:
Quasigroups are algebraic structures, which are useful for application in cryptography and coding theory. Their specific properties and Boolean representations open a lot of scientific questions and new ideas for research. In this paper, we investigate the application of Boolean representation of quasigroups. We propose a new method for designing of binary matrices of order 8x8, which have the highest branch number.

Pages: 7 to 10

Copyright: Copyright (c) IARIA, 2019

Publication date: July 28, 2019

Published in: conference

ISSN: 2308-3484

ISBN: 978-1-61208-732-0

Location: Nice, France

Dates: from July 28, 2019 to August 2, 2019