Title
The Dimension of Subcode-Subfields of Shortened Generalized Reed Solomon Codes
Abstract
Reed–Solomon (RS) codes are among the most ubiquitous codes due to their good parameters as well as efficient encoding and decoding procedures. However, RS codes suffer from having a fixed length. In many applications where the length is static, the appropriate length can be obtained from an RS code by shortening or puncturing. Generalized Reed–Solomon (GRS) codes are a generalization of RS codes, whose subfield-subcodes (SFSC) are extensively studied. In this paper we show that a particular class of GRS codes produces many SFSC with large dimension. We present two algorithms for searching through these codes and a list of new best-known codes obtained.
Year
DOI
Venue
2013
10.1007/s10623-012-9628-z
Designs, Codes and Cryptography
Keywords
DocType
Volume
Subfield-subcodes,Generalized Reed–Solomon codes,Dimension,New codes,11T71,11T22,68P30,14G50
Journal
abs/1108.5475
Issue
ISSN
Citations 
1
0925-1022
5
PageRank 
References 
Authors
0.49
6
3
Name
Order
Citations
PageRank
Fernando Hernando1568.81
Kyle Marshall2233.68
Michael E. O'Sullivan3889.65