首页|Quantum Codes from Constacyclic Codes over Polynomial Residue Rings

Quantum Codes from Constacyclic Codes over Polynomial Residue Rings

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Sufficient and necessary conditions for Hermitian (1±λu)-constacyclic self-orthogonal codes over Fpm + uFpm are obtained,where λ is a unit of Fpm + uFpm.Based on this,a new method for the construction of pm-ary quantum codes from the obtained Hermitian (1 + λu)-constacyclic self-orthogonal codes over Fpm +uFpm is given.As an example,[[pm-1,pm-2d+ 1,d]pm quantum MDS codes are constructed for 1 ＜ d ＜ (pm ± 1)/2 and p ≠ 2,as well as some other quantum codes.

Quantum codeQuantum MDS codeConstacyclic codeSelf-orthogonal code

DING Jian、LI Hongju、LIANG Jing、TANG Yongsheng

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College of Mathematics and Informatics, Fujian Normal University, Fuzhou 350117, China

Fujian Provincial Key Lab of Network Security and Cryptology, Fujian Normal University, Fuzhou 350007, China

Department of General Education, Anhui Xinhua University, Hefei 230088, China

School of Mathematics and Statistics, Hefei Normal University, Hefei 230601, China

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This work is supported by the National Natural Science Foundation of ChinaNatural Science Foundation of Anhui ProvinceKey University Science Research Project of Anhui ProvinceKey University Science Research Project of Anhui ProvinceKey University Science Research Project of Anhui Province

615721321808085MA15KJ2017A623No.KJ2018A0584No.KJ2018A0497

2019

10.1049/cje.2019.07.007

中国电子杂志(英文版)

中国电子杂志(英文版)

CSTPCDCSCDSCIEI
ISSN：1022-4653
年,卷(期)：2019.28(6)
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