On generalized Erdos-Ginzburg-Ziv constants for Z(2)(d)

摘要

Let G be a finite abelian group, and r be a multiple of its exponent. The generalized Erdos-Ginzburg-Ziv constant s(r)(G)is the smallest integer s such that every sequence of length s over G has a zero-sum subsequence of length r. We find exact values of s(2m)(Z(2)(d)) for d <= 2m + 1. Connections to linear binary codes of maximal length and codes without a forbidden weight are discussed. (C) 2020 Elsevier Inc. All rights reserved.