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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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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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09/12/2022
Rook Theory of the Etzion-Silberstein Conjecture
In 2009, Etzion and Siberstein proposed a conjecture on the largest dime...
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08/22/2022
Densities of Codes of Various Linearity Degrees in Translation-Invariant Metric Spaces
We investigate the asymptotic density of error-correcting codes with goo...
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01/18/2022
Rank-Metric Codes, Semifields, and the Average Critical Problem
We investigate two fundamental questions intersecting coding theory and ...
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05/10/2021
The Typical Non-Linear Code over Large Alphabets
We consider the problem of describing the typical (possibly) non-linear ...
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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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11/05/2020