[PDF][PDF] Evaluation codes associated to some matrices
MG Sarabia, C Renterıa - Int. J. Contemp. Math. Sci, 2007 - m-hikari.com
In this paper we define the evaluation codes associated to some specific matrices which are
related to toric varieties. We compute the main parameters of these codes: the length, the …
related to toric varieties. We compute the main parameters of these codes: the length, the …
On toric codes and multivariate Vandermonde matrices
J Little, R Schwarz - Applicable Algebra in Engineering, Communication …, 2007 - Springer
Toric codes are a class of m-dimensional cyclic codes introduced recently by Hansen
(Coding theory, cryptography and related areas (Guanajuato, 1998), pp 132–142, Springer …
(Coding theory, cryptography and related areas (Guanajuato, 1998), pp 132–142, Springer …
[PDF][PDF] Parameterized codes over cycles
MG Sarabia, JN Lara, CR Márquez… - Analele ştiinţifice ale …, 2013 - sciendo.com
In this paper we will compute the main parameters of the parameterized codes arising from
cycles. In the case of odd cycles the corresponding codes are the evaluation codes …
cycles. In the case of odd cycles the corresponding codes are the evaluation codes …
The order bound for toric codes
The Order Bound for Toric Codes Page 1 The Order Bound for Toric Codes Peter Beelen and
Diego Ruano ⋆ DTU-Mathematics, Technical University of Denmark, Matematiktorvet, Building …
Diego Ruano ⋆ DTU-Mathematics, Technical University of Denmark, Matematiktorvet, Building …
Minimum distance of some evaluation codes
MG Sarabia, CR Márquez, AJS Hernández - Applicable Algebra in …, 2013 - Springer
Abstract Evaluation codes have been studied since some years ago. At the very beginning
they were called projective Reed-Muller type codes and their main parameters (length …
they were called projective Reed-Muller type codes and their main parameters (length …
[HTML][HTML] The second generalized Hamming weight of some evaluation codes arising from a projective torus
In this paper we give a formula for the second generalized Hamming weight of certain
evaluation codes arising from a projective torus. This allows us to compute the …
evaluation codes arising from a projective torus. This allows us to compute the …
Toric complete intersection codes
I Soprunov - Journal of Symbolic Computation, 2013 - Elsevier
In this paper we construct evaluation codes on zero-dimensional complete intersections in
toric varieties and give lower bounds for their minimum distance. This generalizes the results …
toric varieties and give lower bounds for their minimum distance. This generalizes the results …
On the structure of generalized toric codes
D Ruano - Journal of Symbolic Computation, 2009 - Elsevier
Toric codes are obtained by evaluating rational functions of a nonsingular toric variety at the
algebraic torus. One can extend toric codes to the so-called generalized toric codes. This …
algebraic torus. One can extend toric codes to the so-called generalized toric codes. This …
Toric codes from order polytopes
MB Can, T Hibi - Discrete & Computational Geometry, 2023 - Springer
Toric Codes from Order Polytopes | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Discrete & …
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Discrete & …
[PDF][PDF] Evaluation codes over a particular complete intersection
MG Sarabia, CR Márquez… - Int. J. Contemp. Math …, 2011 - researchgate.net
In this paper we work with some evaluation codes arising from a subset of the projective
space. We will prove that this subset is a complete intersection and it will allow us to …
space. We will prove that this subset is a complete intersection and it will allow us to …