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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
ℓ-Complementary Subspaces and Codes in Finite Bilinear Spaces
We consider (symmetric, non-degenerate) bilinear spaces over a finite fi...
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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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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
q-Polymatroids and Their Relation to Rank-Metric Codes
It is well known that linear rank-metric codes give rise to q-polymatroi...
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01/23/2021
Automorphism Groups and Isometries for Cyclic Orbit Codes
We study orbit codes in the field extension 𝔽_q^n. First we show that th...
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10/06/2020
Fundamental Properties of Sum-Rank Metric Codes
This paper investigates the theory of sum-rank metric codes for which th...
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12/11/2019
Distance Distributions of Cyclic Orbit Codes
The distance distribution of a code is the vector whose i^th entry is th...
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06/27/2019
On the Sparseness of Certain MRD Codes
We determine the proportion of [3× 3;3]-MRD codes over F_q within the s...
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02/09/2019
Skew-Polynomial Rings and Skew-Cyclic Codes
This is a survey on the theory of skew-cyclic codes based on skew-polyno...
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11/03/2018
Partitions of Matrix Spaces With an Application to q-Rook Polynomials
We study the row-space partition and the pivot partition on the matrix s...
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04/02/2018