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A Pair of Disjoint 3-GDDs of type g^t u^1

arXiv:1008.4408 · doi:10.1007/s10623-010-9415-7

Abstract

Pairwise disjoint 3-GDDs can be used to construct some optimal constant-weight codes. We study the existence of a pair of disjoint 3-GDDs of type $g^t u^1$ and establish that its necessary conditions are also sufficient.

Designs, Codes and Cryptography (to appear)