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08/25/2023
A Gröbner Approach to Dual-Containing Cyclic Left Module (θ,δ)-Codes Rg/Rf⊂ R/Rf over Finite Commutative Frobenius Rings
For a skew polynomial ring R=A[X;θ,δ] where A is a commutative frobenius...
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03/21/2023
Geometrical Properties of Balls in Sum-Rank Metric
The sum-rank metric arises as an algebraic approach for coding in MIMO b...
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12/15/2022
Linearized Reed-Solomon Codes with Support-Constrained Generator Matrix
Linearized Reed-Solomon (LRS) codes are a class of evaluation codes base...
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10/05/2022
Covering Properties of Sum-Rank Metric Codes
The sum-rank metric can be seen as a generalization of both, the rank an...
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05/27/2022
Interleaved Prange: A New Generic Decoder for Interleaved Codes
Due to the recent challenges in post-quantum cryptography, several new a...
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03/23/2022
Rank-Metric Codes and Their Applications
The rank metric measures the distance between two matrices by the rank o...
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01/27/2022
List Decoding of 2-Interleaved Binary Alternant Codes
This paper is concerned with list decoding of 2-interleaved binary alter...
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12/04/2021
Analysis of Communication Channels Related to Physical Unclonable Functions
Cryptographic algorithms rely on the secrecy of their corresponding keys...
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09/29/2021
Quadratic-Curve-Lifted Reed-Solomon Codes
Lifted codes are a class of evaluation codes attracting more attention d...
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02/04/2021
Decoding of (Interleaved) Generalized Goppa Codes
Generalized Goppa codes are defined by a code locator set ℒ of polynomia...
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10/14/2020
Decoding of Interleaved Alternant Codes
Interleaved Reed-Solomon codes admit efficient decoding algorithms which...
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07/03/2020
Almost Affinely Disjoint Subspaces
In this work, we introduce a natural notion concerning vector finite spa...
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01/13/2020
On the Gap between Scalar and Vector Solutions of Generalized Combination Networks
We study scalar-linear and vector-linear solutions to the generalized co...
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01/29/2019
On Decoding and Applications of Interleaved Goppa Codes
Goppa Codes are a well-known class of codes with, among others, applicat...
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06/19/2018