Constacyclic codes over the ring \(\mathbb {F}_q+v\mathbb {F}_q+v^2\mathbb {F}_q\) and their applications of constructing new non-binary quantum codes
type: Item
instance of: scholarly article
title: Constacyclic codes over the ring \(\mathbb {F}_q+v\mathbb {F}_q+v^2\mathbb {F}_q\) and their applications of constructing new non-binary quantum codes
zbMATH Open document ID: 1436.94117
author: Fanghui Ma
author: Jian Gao
author: Fangwei Fu
published in: Quantum Information Processing
publication date: 2018-11-05T00:00:00Z
Mathematics Subject Classification ID: 94B15
Mathematics Subject Classification ID: 81P70
Mathematics Subject Classification ID: 11T71
Mathematics Subject Classification ID: 94B05
zbMATH DE Number: 6973333
zbMATH Keywords: constacyclic codes
zbMATH Keywords: Gray map
zbMATH Keywords: new non-binary quantum codes
describes a project that uses: Magma
MaRDI profile type: Publication
full work available at URL: s11128-018-1898-6
OpenAlex ID: W3020516539
cites work: Quantum codes from cyclic codes over F3 + vF3
cites work: Construction of quantum codes from cyclic codes over \(\mathbb F_p + v\mathbb F_p\)
cites work: Quantum codes from cyclic codes over \(F_q+uF_q+vF_q+uvF_q\)
cites work: Nonbinary quantum stabilizer codes
cites work: The Magma algebra system. I: The user language
cites work: Quantum error correction via codes over GF(4)
cites work: Application of Constacyclic Codes to Quantum MDS Codes
cites work: On Quantum Codes Obtained From Cyclic Codes Over F_2+vF_2+v^2F_2
cites work: Quantum twisted codes
cites work: Binary construction of pure additive quantum codes with distance five or six
cites work: Some results on linear codes over \(\mathbb {F}_p+u\mathbb {F}_p+u^2\mathbb {F}_p\)
cites work: Quantum codes from cyclic codes over \(\mathbb{F}_q+v\mathbb{F}_q+v^2\mathbb{F}_q+v^3\mathbb{F}_q\)
cites work: Gray maps on linear codes over $\bm{\mathbb{F}_p[v]/(v^m-v)}$ and their\\ applications
cites work: \(u\)-constacyclic codes over \(\mathbb F_p+u\mathbb F_p\) and their applications of constructing new non-binary quantum codes
cites work: QUATERNARY CONSTRUCTION OF QUANTUM CODES FROM CYCLIC CODES OVER $\mathbb{F}_4 + u\mathbb{F}_4$
cites work: Constacyclic Codes and Some New Quantum MDS Codes
cites work: A class of constacyclic BCH codes and new quantum codes
cites work: Quantum codes from linear codes over finite chain rings
cites work: Quantum codes derived from cyclic codes
cites work: QUANTUM CODES FROM CYCLIC CODES OVER FINITE RING
cites work: Improved constructions for nonbinary quantum BCH codes
cites work: Multiple-particle interference and quantum error correction
cites work: Quantum codes from cyclic codes over GF(4/sup m/)
cites work: New quantum codes from dual-containing cyclic codes over finite rings
DOI: 10.1007/S11128-018-1898-6
description: scientific article; zbMATH DE number 6973333