Title :
Maximum distance codes over rings of order 4
Author :
Dougherty, Steven T. ; Shiromoto, Keisuke
Author_Institution :
Dept. of Math., Scranton Univ., PA, USA
fDate :
1/1/2001 12:00:00 AM
Abstract :
In this correspondence, we study bounds on the Euclidean, Hamming, Lee, and Bachoc weights of codes over rings of order 4 similar to the Singleton bound and investigate the relationship between these bounds. Moreover, we give some characterizations of the codes meeting these bounds
Keywords :
binary codes; codes; Bachoc weights; Euclidean weights; Hamming weights; Lee weights; Singleton bound; bounds; codes over rings; maximum distance separable codes; Galois fields; Hamming weight; Lattices; Linear code; Mathematics; Modules (abstract algebra); Vectors;
Journal_Title :
Information Theory, IEEE Transactions on
