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A method for improving the code rate and error correction capability of a cyclic code

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Publication:361981
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DOI10.1007/s40314-013-0010-1zbMath1284.94157OpenAlexW1494427705MaRDI QIDQ361981

Mohammad Hasan, M. Dambrine

Publication date: 20 August 2013

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-013-0010-1


zbMATH Keywords

polynomial ringsemigroup ringbinary cyclic codebinary Hamming code


Mathematics Subject Classification ID

Cyclic codes (94B15)


Related Items

Primitive to non-primitive BCH codes: An instantaneous path shifting scheme for data transmission ⋮ Characterization of cyclic codes over {ℬ[X;(1/m)Z0}m > 1and efficient encoding decoding algorithm for cyclic codes]



Cites Work

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  • Constructions of codes through the semigroup ring \(B[X;\frac{1}{2^2}\mathbb Z_0\) and encoding]
  • An algorithm for computing the minimum distances of extensions of BCH codes embedded in semigroup rings
  • Generators and weights of polynomial codes
  • Divisibility properties in semigroup rings
  • Linear Codes over Finite Rings
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