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- W1203661775 abstract "Binary constant weight codes have important applications in various topics and have been studied for many years. Optimal or near-optimal binary constant weight codes of small lengths have been determined. In this paper we propose an improvement of the Ericson–Zinoviev construction of binary constant weight codes from q -ary codes. By applying this improvement to Reed–Solomon codes, some new or optimal binary constant weight codes are presented. In particular new binary constant weight codes A ( 64 , 10 , 8 ) ≥ 4112 and A ( 64 , 12 , 8 ) ≥ 522 are constructed. We also give explicitly constructed binary constant weight codes which improve the Gilbert and the Graham–Sloane lower bounds asymptotically in a small range of parameters. Some new binary constant weight codes constructed from algebraic-geometric codes by applying our this improvement are also presented." @default.
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- W1203661775 date "2017-07-01" @default.
- W1203661775 modified "2023-09-30" @default.
- W1203661775 title "New explicit binary constant weight codes from Reed–Solomon codes" @default.
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- W1203661775 doi "https://doi.org/10.1016/j.ffa.2017.02.002" @default.
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