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- W4300031359 abstract "A new lower bound on the minimum distance of q-ary cyclic codes is proposed. This bound improves upon the Bose-Chaudhuri-Hocquenghem (BCH) bound and, for some codes, upon the Hartmann-Tzeng (HT) bound. Several Boston bounds are special cases of our bound. For some classes of codes the bound on the minimum distance is refined. Furthermore, a quadratic-time decoding algorithm up to this new bound is developed. The determination of the error locations is based on the Euclidean Algorithm and a modified Chien search. The error evaluation is done by solving a generalization of Forney's formula." @default.
- W4300031359 created "2022-10-03" @default.
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- W4300031359 date "2011-05-10" @default.
- W4300031359 modified "2023-09-30" @default.
- W4300031359 title "Decoding Cyclic Codes up to a New Bound on the Minimum Distance" @default.
- W4300031359 doi "https://doi.org/10.48550/arxiv.1105.1894" @default.
- W4300031359 hasPublicationYear "2011" @default.
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