Hermitian hull of constacyclic codes over a class of non-chain rings and new quantum codes
type: Item
instance of: scholarly article
title: Hermitian hull of constacyclic codes over a class of non-chain rings and new quantum codes
author: Shikha Yadav
author: Ashutosh Kumar Singh
author: Habibul Islam
author: Om Prakash
author: Patrick Solé
published in: Computational and Applied Mathematics
publication date: 2024-06-27T00:00:00Z
Mathematics Subject Classification ID: 94B15
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 94B35
Mathematics Subject Classification ID: 94B60
zbMATH DE Number: 7872435
zbMATH Keywords: hull of linear codes
zbMATH Keywords: hull dimension
zbMATH Keywords: LCD codes
zbMATH Keywords: Gray map
zbMATH Keywords: quantum codes
MaRDI profile type: Publication
cites work: Cyclic codes over the rings \(\mathbb Z_2 + u\mathbb Z_2\) and \(\mathbb Z_2 + u\mathbb Z_2 + u^2 \mathbb Z_2\)
cites work: Affine and projective planes
cites work: Some constructions of quantum MDS codes
cites work: Quantum error correction via codes over GF(4)
cites work: Construction of new quantum codes via Hermitian dual-containing matrix-product codes
cites work: Complementary dual codes for counter-measures to side-channel attacks
cites work: Q4570868
cites work: Linear codes with small hulls in semi-primitive case
cites work: Galois hulls of constacyclic codes over finite fields
cites work: Quantum twisted codes
cites work: Constructions of good entanglement-assisted quantum error correcting codes
cites work: The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
cites work: Construction of LCD and new quantum codes from cyclic codes over a finite non-chain ring
cites work: Cyclic codes over a non-chain ring \(R_{e,q}\) and their application to LCD codes
cites work: New quantum codes from constacyclic codes over the ring \(R_{k,m}\)
cites work: The average dimension of the Hermitian hull of constacyclic codes over finite fields of square order
cites work: Q5034208
cites work: Hulls of cyclic codes over \(\mathbb{Z}_4\)
cites work: Nonbinary Stabilizer Codes Over Finite Fields
cites work: Computing automorphism groups of error-correcting codes
cites work: Hermitian LCD codes from cyclic codes
cites work: Constructions of Linear Codes With One-Dimensional Hull
cites work: LCD codes over finite chain rings
cites work: Linear complementary dual codes over rings
cites work: Optimal binary and ternary linear codes with hull dimension one
cites work: Constructions and bounds on quaternary linear codes with Hermitian hull dimension one
cites work: Linear codes with complementary duals
cites work: Some new bounds on LCD codes over finite fields
cites work: Q3403000
cites work: Self-dual and LCD double circulant codes over a class of non-local rings
cites work: Hulls of cyclic and negacyclic codes over finite fields
cites work: Constacyclic and quasi-twisted Hermitian self-dual codes over finite fields
cites work: On the Dimension of the Hull
cites work: Finding the permutation between equivalent linear codes: the support splitting algorithm
cites work: Linear codes with complementary duals meet the Gilbert-Varshamov bound
cites work: Construction of new quantum codes derived from constacyclic codes over \(\mathbb{F}_{q^2}+u\mathbb{F}_{q^2}+\cdots +u^{r-1}\mathbb{F}_{q^2}\)
cites work: The average dimension of the hull of cyclic codes.
cites work: Constructions of optimal LCD codes over large finite fields
cites work: Self-dual and LCD double circulant and double negacirculant codes over \({\mathbb{F}}_q+u{\mathbb{F}}_q+v{\mathbb{F}}_q\)
cites work: On self-dual constacyclic codes over finite fields
cites work: The condition for a cyclic code to have a complementary dual
DOI: 10.1007/S40314-024-02789-1
description: scientific article; zbMATH DE number 7872435