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Full-Rank Factoring of Elementary 2-Groups with Equal Size Factors
Institute of Mathematics and Informatics, University of Pécs, Pécs, Hungary
- 1 Institute of Mathematics and Informatics, University of Pécs, Pécs, Hungary
Open Journal of Discrete Mathematics·Volume 10 (2020)·Pages 89–95·Published 16 September 2020·DOI10.4236/ojdm.2020.104009
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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.
KeywordsFactorization of Finite Abelian GroupsElementary 2-GroupsFull-Rank SubsetsFull-Rank Factorizations
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