Construction of linear ring codes for 6 PSK

Author

Chen, Chang-jia ; Chen, Tai-yi ; Loeliger, Hans-Andrea

Author_Institution

Dept. of Commun. & Control, Northern Jiaotong Univ., Beijing, China

Volume

40

Issue

2

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

563

Lastpage

566

Abstract

The algebraic construction of linear codes over Zm for m-PSK is considered for the case that m is the product of two distinct primes. By means of the Chinese remainder theorem (CRT), such codes can be constructed from linear codes over the corresponding prime fields. It is shown that, for given component codes, the CRT composition yields PSK codes that are at least as good, and often much better, than the codes obtained from the standard coset coding technique. A lower bound on the minimum Euclidean distance of 6 PSK codes is derived that is based on the Hamming weight distribution of the component codes

Keywords

algebra; codes; phase shift keying; telecommunication signalling; CRT composition; Chinese remainder theorem; Hamming weight distribution; PSK codes; algebraic construction; component codes; linear codes; linear ring codes; minimum Euclidean distance; primes; Cathode ray tubes; Code standards; Euclidean distance; Gaussian channels; Hamming weight; Linear code; Modulation coding; Phase modulation; Phase shift keying; Signal processing;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.312187

Filename

312187