Full-Rank Factoring of Elementary 2-Groups with Equal Size Factors

Sándor Szabó

Institute of Mathematics and Informatics, University of Pécs, Pécs, Hungary.

DOI: 10.4236/ojdm.2020.104009                

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.

Keywords

Factorization of Finite Abelian Groups, Elementary 2-Groups, Full-Rank Subsets, Full-Rank Factorizations

Conflicts of Interest

The author declares no conflicts of interest regarding the publication of this paper.

References

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