Paper Info
Title
Isometric Embeddings Of Z(P)K In The Hamming Space F-P(N) And Z(P)K-Linear Codes
Abstract
Isometric embeddings of Z(pn+1) into the Hamming space (F-p(pn), w) have played a fundamental role in recent constructions of non-linear codes. The codes thus obtained are very good codes, but their rate is limited by the rate of the first-order generalized Reed-Muller code-hence, when n is not very small, these embeddings lead to the construction of low-rate codes. A natural question is whether there are embeddings with higher rates than the known ones. In this paper, we provide a partial answer to this question by establishing a lower bound on the order of a symmetry of (F-p(N), w).
Year
DOI
Venue
2006
10.1007/s10623-006-9003-z
DESIGNS CODES AND CRYPTOGRAPHY
Keywords
DocType
Volume
codes over rings, symmetry group, isometric embedding, Reed-Muller code
Journal
41
Issue
ISSN
Citations 
2
0925-1022
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Marcelo Muniz111.01