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05/12/2023
The Critical Theorem for q-Polymatroids
The Critical Theorem, due to Henry Crapo and Gian-Carlo Rota, has been e...
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06/29/2022
Saturating systems and the rank covering radius
We introduce the concept of a rank saturating system and outline its cor...
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04/05/2022
The Cyclic Flats of a q-Matroid
In this paper we develop the theory of cyclic flats of q-matroids. We sh...
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12/15/2021
Tensor Codes and their Invariants
In 1991, Roth introduced a natural generalization of rank metric codes, ...
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12/13/2021
Bounds in the Lee Metric and Optimal Codes
In this paper we investigate known Singleton-like bounds in the Lee metr...
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06/17/2021
Density of Free Modules over Finite Chain Rings
In this paper we focus on modules over a finite chain ring ℛ of size q^s...
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03/15/2021
Bilinear Complexity of 3-Tensors Linked to Coding Theory
A well studied problem in algebraic complexity theory is the determinati...
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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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12/04/2019
Rank-Metric Codes, Generalized Binomial Moments and their Zeta Functions
In this paper we introduce a new class of extremal codes, namely the i-B...
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04/10/2019
Tensor Representation of Rank-Metric Codes
We present the theory of rank-metric codes with respect to the 3-tensors...
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06/01/2018
An Assmus-Mattson Theorem for Rank Metric Codes
A t-(n,d,λ) design over F_q, or a subspace design, is a collection of d...
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05/05/2018