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Defining the qq-Analogue of a Matroid

Relinde Jurrius, Ruud Pellikaan

Source record

Source: Crossref

Published: Jul 13, 2018

DOI: 10.37236/6569

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Source abstract

This paper defines the qq-analogue of a matroid and establishes several properties like duality, restriction and contraction. We discuss possible ways to define a qq-matroid, and why they are (not) cryptomorphic. Also, we explain the motivation for studying qq-matroids by showing that a rank metric code gives a qq-matroid.

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