Error correcting codes and B_h-sequences

Details Error correcting codes and B_h-sequences Error correcting codes and B_h-sequences

2003-11-21

arxiv.org/abs/math/0311385v1

Mathematics

Combinatorics

14 pages, one large 6-page table

Scientific paper

We construct error correcting nonlinear binary codes using a construction of Bose and Chowla in additive number theory. Our method extends a construction of Graham and Sloane for constant weight codes. The new codes improve 1028 of the 7168 best known h-error correcting codes of wordlength at most 512 and h at most 14. We give assymptotical comparisons to shortened BCH codes. Tables of new lower bounds for "A(n,d)" are included.

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