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On the generalized Hamming weights of convolutional codes

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2 Author(s)
Rosenthal, J. ; Dept. of Math., Notre Dame Univ., IN, USA ; York, F.V.

Motivated by applications in cryptology, Wei (1991) introduced the concept of a generalized Hamming weight for a linear block code. In this correspondence, we define generalized Hamming weights for the class of convolutional codes and we derive several of their basic properties. By restricting to convolutional codes having a generator matrix G(D) with bounded Kronecker indices we are able to derive upper and lower bounds on the weight hierarchy

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Information Theory, IEEE Transactions on  (Volume:43 ,  Issue: 1 )