On q-ary linear quasi-constant-weight codes

Zihui Liu; Xiangyong Zeng

doi:10.1109/LCOMM.2015.2499762

On q-ary linear quasi-constant-weight codes

Zihui Liu, Xiangyong Zeng

School of Mathematics and Statistics

Hubei University

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We show that all k-dimensional q-ary linear quasiconstant-weight codes are equivalent to the first-order RM code or its copies for k ≥ 4, and the same result holds also for the case k = 3 and q being a prime number.

Original language	English
Article number	7328273
Pages (from-to)	41-44
Number of pages	4
Journal	IEEE Communications Letters
Volume	20
Issue number	1
DOIs	https://doi.org/10.1109/LCOMM.2015.2499762
Publication status	Published - 1 Jan 2016

Keywords

Constant-weight
Quasi-constant-weight
The first-order RM code
Value function

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10.1109/LCOMM.2015.2499762

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title = "On q-ary linear quasi-constant-weight codes",

abstract = "We show that all k-dimensional q-ary linear quasiconstant-weight codes are equivalent to the first-order RM code or its copies for k ≥ 4, and the same result holds also for the case k = 3 and q being a prime number.",

keywords = "Constant-weight, Quasi-constant-weight, The first-order RM code, Value function",

author = "Zihui Liu and Xiangyong Zeng",

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AB - We show that all k-dimensional q-ary linear quasiconstant-weight codes are equivalent to the first-order RM code or its copies for k ≥ 4, and the same result holds also for the case k = 3 and q being a prime number.

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On q-ary linear quasi-constant-weight codes

Abstract

Keywords

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