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arXiv · 1912.09984

Some Matroids Related to Sum-Rank Metric Codes

Avijit Panja·Rakhi Pratihar·Tovohery Hajatiana Randrianarisoa
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Abstract

We introduce the notion of sum-matroids and show its association with sum-rank metric codes. As a consequence, some results for sum-rank metric codes by Martínez-Peñas are generalized for sum-matroids. The sum-matroids generalize the notions of matroids and $q$-matroids. We define the generalized weights for sum-matroids and prove a Wei-type duality theorem which generalizes the analogous cases for matroids and q-matroids.

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Avijit Panja, Rakhi Pratihar, Tovohery Hajatiana Randrianarisoa. 2022-03-22. Some Matroids Related to Sum-Rank Metric Codes. https://arxiv.org/abs/1912.09984

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