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05/08/2023
Binary convolutional codes with optimal column distances
There exists a large literature of construction of convolutional codes w...
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05/08/2023
Criteria for the construction of MDS convolutional codes with good column distances
Maximum-distance separable (MDS) convolutional codes are characterized b...
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08/08/2022
Self-Dual Convolutional Codes
This paper investigates the concept of self-dual convolutional code. We ...
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08/08/2022
Efficient Description of some Classes of Codes using Group Algebras
Circulant matrices are an important tool widely used in coding theory an...
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03/07/2022
Complexity of Conjugacy Search in some Polycyclic and Matrix Groups
The most prominent algorithmic problem employed in the recently emerging...
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01/18/2022
A Survey on Code-Based Cryptography
The improvements on quantum technology are threatening our daily cyberse...
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10/05/2021
On the Properties of Error Patterns in the Constant Lee Weight Channel
The problem of scalar multiplication applied to vectors is considered in...
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05/18/2021
Analysis of Low-Density Parity-Check Codes over Finite Integer Rings for the Lee Channel
We study the performance of low-density parity-check (LDPC) codes over f...
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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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03/17/2021
Moderate Density Parity-Check Codes from Projective Bundles
A new construction for moderate density parity-check (MDPC) codes using ...
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03/13/2021
On Bounds for Ring-Based Coding Theory
Coding Theory where the alphabet is identified with the elements of a ri...
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01/27/2021
A Deterministic Algorithm for the Discrete Logarithm Problem in a Semigroup
The discrete logarithm problem in a finite group is the basis for many p...
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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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08/20/2020
Erasure decoding of convolutional codes using first order representations
In this paper, we employ the linear systems representation of a convolut...
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01/22/2020
Convolutional Codes
The article provides a survey on convolutional codes stressing the conne...
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01/22/2020
Construction of Rate (n-1)/n Non-Binary LDPC Convolutional Codes via Difference Triangle Sets
This paper provides a construction of non-binary LDPC convolutional code...
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06/03/2019
Encryption Scheme Based on Expanded Reed-Solomon Codes
We present a code-based public-key cryptosystem, in which we use Reed-So...
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12/28/2018
Generalization of the Ball-Collision Algorithm
In this paper we generalize the Ball-Collision Algorithm by Bernstein, L...
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07/16/2018