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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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03/29/2023
Maximum Flag-Rank Distance Codes
In this paper we extend the study of linear spaces of upper triangular m...
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03/07/2023
The Service Rate Region Polytope
We investigate the properties of a family of polytopes that naturally ar...
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01/23/2023
Outer Strong Blocking Sets
Strong blocking sets, introduced first in 2011 in connection with satura...
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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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01/19/2022
Dual-Code Bounds on Multiple Concurrent (Local) Data Recovery
We are concerned with linear redundancy storage schemes regarding their ...
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06/23/2021
Linear Cutting Blocking Sets and Minimal Codes in the Rank Metric
This work investigates the structure of rank-metric codes in connection ...
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05/31/2021
Sum-rank product codes and bounds on the minimum distance
The tensor product of one code endowed with the Hamming metric and one e...
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04/19/2021
Convolutional codes over finite chain rings, MDP codes and their characterization
In this paper, we develop the theory of convolutional codes over finite ...
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12/21/2020
Weighted Reed-Solomon convolutional codes
In this paper we present a concrete algebraic construction of a novel cl...
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10/30/2020
Three Combinatorial Perspectives on Minimal Codes
We develop three approaches of combinatorial flavour to study the struct...
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08/31/2020
Construction of LDPC convolutional codes via difference triangle sets
In this paper, a construction of (n,k,δ) LDPC convolutional codes over a...
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08/14/2020
On single server private information retrieval in a coding theory perspective
In this paper, we present a new perspective of single server private inf...
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03/16/2020
A simplified criterion for MDP convolutional codes
Maximum distance profile (MDP) convolutional codes have the property tha...
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02/06/2020
Roos bound for skew cyclic codes in Hamming and rank metric
In this paper, a Roos like bound on the minimum distance for skew cyclic...
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01/22/2020