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09/07/2023
LRCs: Duality, LP Bounds, and Field Size
We develop a duality theory of locally recoverable codes (LRCs) and appl...
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02/04/2023
Decompositions of q-Matroids Using Cyclic Flats
We study the direct sum of q-matroids by way of their cyclic flats. Usin...
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12/15/2022
Duality and LP Bounds for Codes with Locality
We initiate the study of the duality theory of locally recoverable codes...
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11/21/2022
Representability of the Direct Sum of q-Matroids
q-Matroids are the q-analogue of matroids. In this short note we conside...
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04/04/2022
The Projectivization Matroid of a q-Matroid
In this paper, we investigate the relation between a q-matroid and its a...
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11/18/2021
On the Existence of Coproducts in Categories of q-Matroids
q-Matroids form the q-analogue of classical matroids. In this paper we i...
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05/05/2021
Independent Spaces of q-Polymatroids
This paper is devoted to the study of independent spaces of q-polymatroi...
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04/14/2021