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A Graham-Sloane Type Construction for s-Surjective Matrices
Authors:Iiro Honkala
Affiliation:(1) Department of Mathematics, University of Turku, 20500 Turku, Finland
Abstract:We give a construction of (ns)-surjective matrices with n columns over 
$$mathbb{Z}_q$$
using Abelian groups and additive s-bases. In particular we show that the minimum number of rows msq(n,ns) in such a matrix is at most ssqn–s for all q, n and s.
Keywords:s-surjective matrix  additive basis  orthogonal array
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