Factorizations in the elementary Abelian p-group and their cryptographic significance
Copyright policy )Factorizations in the elementary Abelian p-group and their cryptographic significance
Let \(G\) be a finite abelian group, and let \(A_i\) be a subset with at least two elements (for \(i=1,\dots,s\)). The ordered collection \({\mathbf A}=(A_1,\dots,A_s)\) is called a factorization of \(G\) if and only if each group element may be written uniquely as a product of the form \(a_1\dots a_s\) with \(a_i\in A_i\) for \(i=1,\dots,s\). Trivially, one obtains an example from each chain \(\{0\}=G_s<\dots
- University of Waterloo Canada
Finite abelian groups, Data encryption (aspects in computer science), translations of transversal factorizations, elementary Abelian \(p\)-groups, public-key cryptosystems, Cryptography, Algebraic coding theory; cryptography (number-theoretic aspects), group factorizations, finite Abelian groups, Arithmetic and combinatorial problems involving abstract finite groups
Finite abelian groups, Data encryption (aspects in computer science), translations of transversal factorizations, elementary Abelian \(p\)-groups, public-key cryptosystems, Cryptography, Algebraic coding theory; cryptography (number-theoretic aspects), group factorizations, finite Abelian groups, Arithmetic and combinatorial problems involving abstract finite groups
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