DocumentCode
45870
Title
New Binary Codes From Rational Function Fields
Author
Lingfei Jin ; Chaoping Xing
Author_Institution
Shanghai Key Lab. of Intell. Inf. Process., Fudan Univ., Shanghai, China
Volume
61
Issue
1
fYear
2015
fDate
Jan. 2015
Firstpage
60
Lastpage
65
Abstract
In this paper, we present an algebraic construction of binary codes through rational function fields. We make use of certain multiplicative group of rational functions for our construction. In particular, the point at infinity can be employed in our construction to get codes of length up to q+1, where q is the ground field size. As a result, several new binary constant-weight codes are found and many new binary nonlinear codes are presented.
Keywords
binary codes; nonlinear codes; rational functions; binary constant-weight codes; binary nonlinear codes; multiplicative group; rational function fields; Binary codes; Educational institutions; Electronic mail; Encoding; Lead; Polynomials; Binary codes; binary constant-weight codes; multiplicative group; point at infinity; rational functions;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2014.2352306
Filename
6883150
Link To Document