New quantum codes from self-dual codes over F4

被引：0

作者：

Dastbasteh, Reza ^{[1
]}

Lisonek, Petr ^{[1
]}

机构：

[1] Simon Fraser Univ, Burnaby, BC, Canada

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2024年 / 92卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Quantum code; Duadic code; Quadratic residue code; Cyclic code; Self-dual code; Minimum distance bound;

D O I：

10.1007/s10623-023-01306-5

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We present new constructions of binary quantum codes from quaternary linear Hermitian self-dual codes. Our main ingredients for these constructions are nearly self-orthogonal cyclic or duadic codes over F-4. An infinite family of 0-dimensional binary quantum codes is provided. We give minimum distance lower bounds for our quantum codes in terms of the minimum distance of their ingredient linear codes. We also present new results on the minimum distance of linear cyclic codes using their fixed subcodes. Finally, we list many new record-breaking quantum codes obtained from our constructions.

引用

页码：787 / 801

页数：15

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