DocumentCode
1162173
Title
The trace operator and redundancy of Goppa codes
Author
Roseiro, Albert M. ; Hall, Jonathan I. ; Adney, Joseph E. ; Siegel, Marvin
Author_Institution
Alcatel Espace, Courbevoie, France
Volume
38
Issue
3
fYear
1992
fDate
5/1/1992 12:00:00 AM
Firstpage
1130
Lastpage
1133
Abstract
The dimension of subfield subcodes and in particular generalized Goppa codes is studied using the kernel of an associated trace map. Bounds on the dimension for a particular general class of binary Goppa codes are obtained. Deeper study of some special cases and other related polynomials yields still tighter bounds for any s >1
Keywords
error correction codes; polynomials; redundancy; Goppa codes; binary codes; polynomials; redundancy; subfield subcodes; trace map; trace operator; Algorithm design and analysis; Decoding; Equations; Error correction codes; Hamming weight; Kernel; Linear code; Mathematics; Polynomials; Redundancy;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.135654
Filename
135654
Link To Document