TITLE:
Full-Rank Factoring of Elementary 2-Groups with Equal Size Factors
AUTHORS:
Sándor Szabó
KEYWORDS:
Factorization of Finite Abelian Groups, Elementary 2-Groups, Full-Rank Subsets, Full-Rank Factorizations
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.10 No.4,
September
16,
2020
ABSTRACT: In order to answer a question motivated by constructing substitution boxes in block ciphers we will exhibit an infinite family of full-rank factorizations of elementary 2-groups into two factors having equal sizes.