Title :
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
fDate :
3/1/1994 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
