Unrestricted Generalized Column Distances: A Wider Definition

Sara D. Cardell, Diego Napp, Marcelo Firer · 2019

In this work we introduce the concept of Unrestricted Generalized Column Distance (UGCD) for convolutional codes. This is the concept equivalent to the generalized Hamming weights for block codes. We show that the hierarchy of UGCD is strictly increasing and show how to compute it of parity-check matrix in general form. We also provide a way to compute it out of a systematic parity-check matrix.

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