\(\sigma\)-LCD codes over finite chain rings

DOI10.1007/s10623-019-00706-wzbMath1444.94128OpenAlexW2996757859MaRDI QIDQ2306907

Hualu Liu, Xiu-sheng Liu

Publication date: 27 March 2020

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-019-00706-w

zbMATH Keywords

generator matrixfinite chain ringentanglement-assisted quantum error-correcting code\(\sigma\)-LCD code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Other types of codes (94B60) Finite commutative rings (13M99)

Related Items (11)

Construction of LCD and new quantum codes from cyclic codes over a finite non-chain ring ⋮ On the enumeration and classification of \(\sigma\)-LCD codes over finite commutative chain rings ⋮ \(l\)-LIPs of codes over finite chain rings ⋮ Linear \(\ell\)-intersection pairs of cyclic and quasi-cyclic codes over a finite field \({\mathbb{F}}_q\) ⋮ Galois LCD codes over rings ⋮ New quantum and lcd codes from cyclic codes over a finite non-chain ring ⋮ On the \(\ell\)-DLIPs of codes over finite commutative rings ⋮ Linear complementary pairs of codes over rings ⋮ New quantum and LCD codes over the finite field of odd characteristic ⋮ Cyclic codes over a non-chain ring \(R_{e,q}\) and their application to LCD codes ⋮ On quantum and LCD codes over the ring \(F_q+vF_q+v^2F_q\)

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