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Weight hierarchy of a product code

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2 Author(s)
A. I. Barbero ; Dept. of Math. Appl. to Eng., Valladolid Univ., Spain ; J. G. Tena

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

Published in:

IEEE Transactions on Information Theory  (Volume:41 ,  Issue: 5 )