具有最知名参数的恒循环码

IF 2.6 3区计算机科学 Q3 COMPUTER SCIENCE, INFORMATION SYSTEMS

IEEE Transactions on Information Theory Pub Date : 2026-07-01 Epub Date: 2026-03-27 DOI:10.1109/TIT.2026.3697372

Zekai Chen;Min Sha

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引用次数: 0

摘要

本文构造了有限域$\mathbb {F}_{q}$上的$q$ -任意常环码的无限族，其长度$n$，维数$n/2$，对于某正常数$c$，最小距离至少$cn/\log _{q} n$。它们包含许多具有最优或几乎最优或最知名参数的恒循环码。我们还考虑了不同长度的恒环码。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Constacyclic Codes With Best-Known Parameters

In this paper, we construct several infinite families of

$q$

-ary constacyclic codes over a finite field

$\mathbb {F}_{q}$

with length

$n$

, dimension around

$n/2$

, and minimum distance at least

$cn/\log _{q} n$

for some positive constant

$c$

. They contain many constacyclic codes with optimal, or almost-optimal, or best-known parameters. We also consider constacyclic codes of various lengths.

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来源期刊

IEEE Transactions on Information Theory 工程技术-工程：电子与电气

CiteScore

5.70

自引率

20.00%

发文量

514

审稿时长

12 months

期刊介绍： The IEEE Transactions on Information Theory is a journal that publishes theoretical and experimental papers concerned with the transmission, processing, and utilization of information. The boundaries of acceptable subject matter are intentionally not sharply delimited. Rather, it is hoped that as the focus of research activity changes, a flexible policy will permit this Transactions to follow suit. Current appropriate topics are best reflected by recent Tables of Contents; they are summarized in the titles of editorial areas that appear on the inside front cover.