Designs, Codes and Cryptography, 47 (2008), 125-134.
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.
| home | List of publications |