Vard{\o}hus Codes: Polar Codes Based on Castle Curves Kernels
Information Theory
2019-01-23 v1 math.IT
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.
Keywords
Cite
@article{arxiv.1901.06923,
title = {Vard{\o}hus Codes: Polar Codes Based on Castle Curves Kernels},
author = {Eduardo Camps and Edgar Martínez-Moro and Eliseo Sarmiento},
journal= {arXiv preprint arXiv:1901.06923},
year = {2019}
}
Comments
Submitted to IEEE Trans. Inf. Theory