%0 Journal Article %T Full-Rank Factoring of Elementary 2-Groups with Equal Size Factors %A Sá %A ndor Szabó %J Open Journal of Discrete Mathematics %P 89-95 %@ 2161-7643 %D 2020 %I Scientific Research Publishing %R 10.4236/ojdm.2020.104009 %X 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. %K Factorization of Finite Abelian Groups %K Elementary 2-Groups %K Full-Rank Subsets %K Full-Rank Factorizations %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=102880