Title :
Restrictions on the weight distribution of binary linear codes imposed by the structure of Reed-Muller codes
Author :
Simonis, Juriaan
Author_Institution :
Fac. of Tech. Math. & Inf., Delft Univ. of Technol., Netherlands
fDate :
1/1/1994 12:00:00 AM
Abstract :
The words of a binary linear [n, k] code C whose weights belong to a given subset I⊂{0,1,...,n} constitute a word in a certain Reed-Muller code ℜ𝔐(r, k). Appropriate choices of I result in low values of the order r and thus yield restrictions on the weight distribution of C
Keywords :
binary sequences; codes; Reed-Muller codes; binary linear codes; weight distribution; weights; Code standards; IEL; Informatics; Linear code; Mathematics; Power generation;
Journal_Title :
Information Theory, IEEE Transactions on
