On the Weight Hierarchy of Product Codes

Author： Martínez-Pérez Conchita   Willems Wolfgang  

Publisher： Springer Publishing Company

ISSN： 0925-1022

Source： Designs, Codes and Cryptography, Vol.33, Iss.2, 2004-09, pp. : 95-108

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Abstract

Let V and W be codes and let C = V ⊗ W be the product code of V and W. In [6] Wei and Yang, conjectured a formula for the generalized Hamming weights of V ⊗ W in terms of those of V and W provided that both V and W satisfy the chain condition. Recently the conjecture has been proved by Schaathun [4]. In this paper we generalize the formula to a product code with more than two components.

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