Autor:	Panja, Avijit, Pratihar, Rakhi, Randrianarisoa, Tovohery Hajatiana
Rok vydání:	2019
Předmět:	Mathematics - Combinatorics 94B05 05B35 94B99
Druh dokumentu:	Working Paper
Popis:	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 Mart\'inez-Pe\~nas 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. Comment: 26 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1912.09984 Zobrazit plný text záznamu View this record from Arxiv