DocumentCode
913083
Title
Some results on the weight distribution of linear codes
Author
Robillard, Pierre
Volume
15
Issue
6
fYear
1969
fDate
11/1/1969 12:00:00 AM
Firstpage
706
Lastpage
709
Abstract
By studying the algebraic structure of the parity check matrix of a linear code we show that the weight distribution is a function only of the quantities 
, the number of 
columns of the parity check matrix with rank 
. We apply this to obtain a new formula for the weight distribution of the distance 
-ary Hamming code and for the distance 
-ary conic code. We give the definition of a conic code and some of its properties.
, the number of columns of the parity check matrix with rank . We apply this to obtain a new formula for the weight distribution of the distance -ary Hamming code and for the distance -ary conic code. We give the definition of a conic code and some of its properties.Keywords
Linear codes; Equations; Galois fields; Linear code; Parity check codes; Vectors;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1969.1054382
Filename
1054382
Link To Document