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 :
