Quadratic residue codes over \(\mathbb{F}_{p^r}+{u_1}\mathbb{F}_{p^r}+{u_2}\mathbb{F}_{p^r}+\dots+{u_t}\mathbb{F}_ {p^r}\)

DOI10.3934/amc.2017058zbMath1386.94106OpenAlexW2771220894MaRDI QIDQ1691251

Arezoo Soufi, Karim Samei

Publication date: 15 January 2018

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2017058

zbMATH Keywords

gray mapquadratic residue codesHermitian self-dual codeseuclidean self-dual codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cyclic codes (94B15)

Related Items (2)

Singleton bounds for \(R\)-additive codes ⋮ Polyadic constacyclic codes over a non-chain ring \(\mathbb{F}_q[u,v/\langle f(u), g(v), uv-vu\rangle\)]

Cites Work

• Unnamed Item
• A class of optimal \(p\)-ary codes from one-weight codes over \(\mathbb F_p[u/\langle u^m\rangle\)]
• A class of constacyclic codes over \(\mathbb F_{p}+v\mathbb F_{p}\) and its Gray image
• New extremal binary self-dual codes of length 68 from quadratic residue codes over \(\mathbb{F}_2 + u \mathbb{F}_2 + u^2 \mathbb{F}_2\)
• MDS codes over finite principal ideal rings
• \(\mathbb Z_8\)-cyclic codes and quadratic residue codes
• On constacyclic codes over \(\mathbb{Z}_4 [u / \langle u^2 - 1 \rangle\) and their Gray images]
• Quadratic residue codes over \(\mathbb{F}_p + v \mathbb{F}_p\) and their Gray images
• A Note on One Weight and Two Weight Projective $\mathbb {Z}_{4}$ -Codes
• QUADRATIC RESIDUE CODES OVER ℤ₉
• Fundamentals of Error-Correcting Codes
• Cyclic codes and quadratic residue codes over Z/sub 4/

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