research
∙
12/30/2022
Relative hulls and quantum codes
The relative hull of a code C_1 with respect to another code C_2 is the ...
share
research
∙
09/24/2022
Decreasing norm-trace codes
This paper introduces decreasing norm-trace codes, which are evaluation ...
research
∙
12/26/2021
Explicit non-special divisors of small degree and LCD codes from Kummer extensions
A linear code is linear complementary dual, or LCD, if and only if the i...
research
∙
12/14/2021
Relative generalized Hamming weights of evaluation codes
The aim of this work is to algebraically describe the relative generaliz...
research
∙
12/12/2021
Multivariate Goppa codes
In this paper, we introduce multivariate Goppa codes, which contain as a...
research
∙
07/27/2021
On decoding hyperbolic codes
Few decoding algorithms for hyperbolic codes are known in the literature...
research
∙
07/04/2021
Erasures repair for decreasing monomial-Cartesian and augmented Reed-Muller codes of high rate
In this work, we present linear exact repair schemes for one or two eras...
research
∙
12/18/2020
The dual of an evaluation code
The aim of this work is to study the dual and the algebraic dual of an e...
research
∙
07/14/2020
Coding theory package for Macaulay2
In this Macaulay2 <cit.> package we define an object called linear code....
research
∙
06/09/2020
Hermitian-Lifted Codes
In this paper, we construct codes for local recovery of erasures with hi...
research
∙
02/02/2020
Polar decreasing monomial-Cartesian codes
We prove that families of polar codes with multiple kernels over certain...
research
∙
07/26/2019
Monomial-Cartesian codes and their duals, with applications to LCD codes, quantum codes, and locally recoverable codes
A monomial-Cartesian code is an evaluation code defined by evaluating a ...
research
∙
10/09/2018
Explicit optimal-length locally repairable codes of distance 5
Locally repairable codes (LRCs) have received significant recent attenti...
research
∙
05/18/2018
Affine Cartesian codes with complementary duals
A linear code C with the property that C ∩ C^ = {0 } is said to be a lin...
research
∙
03/28/2018
