Title :
Weight hierarchy of a product code
Author :
Barbero, Angela I. ; Tena, Juan G.
Author_Institution :
Dept. of Math. Appl. to Eng., Valladolid Univ., Spain
fDate :
9/1/1995 12:00:00 AM
Abstract :
Formulas to compute the first members of the weight hierarchy of a product code are given and proved. Basic patterns for the supports of subcodes in which the minimum cardinalities can be found are presented. Hence, formulas for every term of the hierarchy can be given, and the proof for each case will be a generalization of the proofs shown here
Keywords :
linear codes; basic patterns; linear code; minimum cardinalities; product code; subcodes; weight hierarchy; Algebra; Galois fields; Geometry; Hamming distance; Hamming weight; Linear code; Mathematics; Product codes; Topology; Upper bound;
Journal_Title :
Information Theory, IEEE Transactions on
