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Sequences in Abelian Groups G of Odd Order without Zero-Sum Subsequences of Length exp(G)

Designs, Codes and Cryptography, 47 (2008), 125-134.

doi:10.1007/s10623-007-9085-2

Abstract:

We present a new construction for sequences in the finite abelian group C_n^r without zero-sum subsequences of length n, for odd n. This construction improves the maximal known cardinality of such sequences for r>4 and leads to simpler examples for r>2. Moreover we explore a link to ternary affine caps and prove that the size of the second largest complete caps in AG(5,3) is 42.

Download the preprint as pdf.

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