Vardohus Codes: Polar Codes Based on Castle Curves Kernels

Eduardo Camps Moreno; Edgar Martinez-Moro; Eliseo Sarmiento Rosales

doi:10.1109/TIT.2019.2932405

Vardohus Codes: Polar Codes Based on Castle Curves Kernels

Eduardo Camps Moreno, Edgar Martinez-Moro, Eliseo Sarmiento Rosales

Escuela Superior de Física y Matemáticas (ESFM)

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

2 Citas (Scopus)

Resumen

In this paper we show some applications of algebraic curves to the construction of kernels of polar codes over a discrete memoryless channel which is symmetric w.r.t the field operations. We will also study the minimum distance of the polar codes proposed, their duals and the exponents of the matrices used for defining them. All the restrictions that we make to our curves will be accomplished by the so called Castle Curves.

Idioma original	Inglés
Número de artículo	8786934
Páginas (desde-hasta)	1007-1022
Número de páginas	16
Publicación	IEEE Transactions on Information Theory
Volumen	66
N.º	2
DOI	https://doi.org/10.1109/TIT.2019.2932405
Estado	Publicada - feb. 2020

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10.1109/TIT.2019.2932405

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abstract = "In this paper we show some applications of algebraic curves to the construction of kernels of polar codes over a discrete memoryless channel which is symmetric w.r.t the field operations. We will also study the minimum distance of the polar codes proposed, their duals and the exponents of the matrices used for defining them. All the restrictions that we make to our curves will be accomplished by the so called Castle Curves.",

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AB - In this paper we show some applications of algebraic curves to the construction of kernels of polar codes over a discrete memoryless channel which is symmetric w.r.t the field operations. We will also study the minimum distance of the polar codes proposed, their duals and the exponents of the matrices used for defining them. All the restrictions that we make to our curves will be accomplished by the so called Castle Curves.

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