Quadratic Residue Codes over $$\mathbb {F}_p+v\mathbb {F}_p+v^{2}\mathbb {F}_p$$

DOI10.1007/978-3-319-16277-5_12zbMath1321.94133OpenAlexW280924239MaRDI QIDQ2949481

Minjia Shi, Yan Liu, Patrick Solé

Publication date: 1 October 2015

Published in: Arithmetic of Finite Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-16277-5_12

zbMATH Keywords

cyclic codesdual codesquadratic residue codesgenerating idempotents

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cyclic codes (94B15) Arithmetic codes (94B40)

Related Items (3)

Quadratic residue codes over the ring \(\mathbb {F}_{p}[u/\langle u^{m}-u\rangle \) and their Gray images] ⋮ Some results on quadratic residue codes over the ring Fp + vFp + v2Fp + v3Fp ⋮ \((1-2u^{3})\)-constacyclic codes and quadratic residue codes over \(\mathbb {F}_{p}[u/\langle u^{4}-u\rangle \)]

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