Improved lower bounds on sizes of single-error correcting codes |
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| Authors: | Simon Litsyn Beniamin Mounits |
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| Affiliation: | (1) Department of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel;(2) CWI, Amsterdam, The Netherlands |
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| Abstract: | A construction of codes of length n = q + 1 and minimum Hamming distance 3 over  is given. Substitution of the derived codes into a concatenation construction yields nonlinear binary single-error correcting codes with better than known parameters. In particular, new binary single-error correcting codes having more codewords than the best previously known in the range n ≤ 512 are obtained for the lengths 64–66, 128–133, 256–262, and 512. |
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| Keywords: | A(n, d) MDS code Weight distribution |
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