On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes

被引：4

作者：

Galindo, Carlos ^{[1
,2
]}

Hernando, Fernando ^{[1
,2
]}

机构：

[1] Univ Jaume 1, Inst Univ Matemat & Aplicac Castellon, Campus Riu Sec, Castellon de La Plana 12071, Spain

[2] Univ Jaume 1, Dept Matemat, Campus Riu Sec, Castellon de La Plana 12071, Spain

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2022年 / 90卷 / 05期

关键词：

Stabilizer quantum codes; Hermitian duality; Self-orthogonal codes; ERROR-CORRECTING CODES; MDS CODES; COMPUTATION;

D O I：

10.1007/s10623-022-01018-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Many q-ary stabilizer quantum codes can be constructed from Hermitian self-orthogonal q(2)-ary linear codes. This result can be generalized to q(2m)-ary linear codes, m > 1. We give a result for easily obtaining quantum codes from that generalization. As a consequence we provide several new binary stabilizer quantum codes which are records according to Grassl (Bounds on the minimum distance of linear codes, http://www.codetables.de, 2020) and new q-ary ones, with q not equal 2, improving others in the literature.

引用

页码：1103 / 1112

页数：10

共 50 条

[41] A Construction Method of Ternary Linear Complementary Dual Codes and Self-orthogonal Codes
Li Ping
Zhang Jiayuan
Sun Zhonghua
JOURNAL OF ELECTRONICS & INFORMATION TECHNOLOGY, 2022, 44 (11) : 4018 - 4024
[42] Self-orthogonal greedy codes
Des Codes Cryptography, 1 (79):
[43] Self-orthogonal greedy codes
Monroe, L
CODES, DESIGNS AND GEOMETRY, 1996, : 75 - 79
[44] A NOTE ON SELF-ORTHOGONAL CODES
POTT, A
DISCRETE MATHEMATICS, 1989, 76 (03) : 283 - 284
[45] Extending self-orthogonal codes
Bassa, Alp
Tutas, Nesrin
TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (05) : 2177 - 2182
[46] Self-Orthogonal Codes Constructed from Posets and Their Applications in Quantum Communication
Wu, Yansheng
Lee, Yoonjin
MATHEMATICS, 2020, 8 (09)
[47] On matroids from self-orthogonal codes and their properties
Loucks, Weston
Yildiz, Bahattin
INVOLVE, A JOURNAL OF MATHEMATICS, 2023, 16 (03): : 409 - 420
[48] Quantum Codes Constructed from Self-Dual Codes and Maximal Self-Orthogonal Codes Over F5
Guo, Luobin
Ma, Yuena
Feng, Youqian
2012 INTERNATIONAL WORKSHOP ON INFORMATION AND ELECTRONICS ENGINEERING, 2012, 29 : 3448 - 3453
[49] Constructions of Self-Orthogonal Codes From Hulls of BCH Codes and Their Parameters
Du, Zongrun
Li, Chengju
Mesnager, Sihem
IEEE TRANSACTIONS ON INFORMATION THEORY, 2020, 66 (11) : 6774 - 6785
[50] On certain self-orthogonal AG codes with applications to Quantum error-correcting codes
Daniele Bartoli
Maria Montanucci
Giovanni Zini
Designs, Codes and Cryptography, 2021, 89 : 1221 - 1239

← 1 2 3 4 5 →