DocumentCode
850406
Title
Projective Reed-Muller codes
Author
Sorensen, Anders Bjzert
Author_Institution
Dept. of Math., Aarhus Univ., Denmark
Volume
37
Issue
6
fYear
1991
fDate
11/1/1991 12:00:00 AM
Firstpage
1567
Lastpage
1576
Abstract
A class of codes in the Reed-Muller family, the projective Reed-Muller codes (PRM codes), is studied. The author defines the PRM codes of all orders and discusses their relation to polynomial codes. The exact parameters of PRM codes are given. The duals are characterized, and, in parallel to the classical works on generalized Reed-Muller codes, the cyclic properties are studied. Tables over parameters of the codes are given
Keywords
error correction codes; cyclic properties; duals; polynomial codes; projective Reed-Muller codes; Character generation; Councils; Galois fields; Geometry; Helium; Mathematics; Polynomials; Welding;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.104317
Filename
104317
Link To Document