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03/31/2023
On LCP and checkable group codes over finite non-commutative Frobenius rings
We provide a simple proof for a complementary pair of group codes over a...
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12/29/2022
Abelian and consta-Abelian polyadic codes over affine algebras with a finite commutative chain coefficient ring
In this paper, we define Abelian and consta-Abelian polyadic codes over ...
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07/31/2022
On the structure of repeated-root polycyclic codes over local rings
This paper provides the Generalized Mattson Solomon polynomial for repea...
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05/06/2022
Public key cryptography based on skew dihedral group rings
In this paper, we propose to use a skew dihedral group ring given by the...
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03/31/2022
Free Resolutions and Generalized Hamming Weights of binary linear codes
In this work, we explore the relationship between free resolution of som...
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02/06/2022
Galois LCD codes over mixed alphabets
We study (Galois) linear complementary dual codes over mixed alphabets a...
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11/17/2021
Private Information Schemes Using Cyclic Codes
A Private Information Retrieval (PIR) scheme allows users to retrieve da...
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07/27/2021
On decoding hyperbolic codes
Few decoding algorithms for hyperbolic codes are known in the literature...
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06/15/2021
Cyclic codes over a non-chain ring R_e,q and their application to LCD codes
Let 𝔽_q be a finite field of order q, a prime power integer such that q=...
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05/11/2021
A transform approach to polycyclic and serial codes over rings
In this paper, a transform approach is used for polycyclic and serial co...
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02/13/2021
Galois hulls of cyclic serial codes over a finite chain ring
In this paper, we explore some properties of Galois hulls of cyclic seri...
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07/11/2020
Lifted Codes and Lattices from Codes Over Finite Chain Rings
In this paper we give the generalization of lifted codes over any finite...
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12/06/2019
Linear Complementary Pair Of Abelian Codes over Finite Chain Rings
Linear complementary dual (LCD) codes and linear complementary pair (LCP...
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07/11/2019
Computing sharp recovery structures for Locally Recoverable codes
A locally recoverable code is an error-correcting code such that any era...
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01/30/2019
Do non-free LCD codes over finite commutative Frobenius rings exist?
In this paper, we clarify some aspects on LCD codes in the literature. W...
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01/21/2019
Vardøhus Codes: Polar Codes Based on Castle Curves Kernels
In this paper, we show some applications of algebraic curves to the cons...
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11/19/2018