Work

Vardøhus Codes: Polar Codes Based on Castle Curves Kernels

Year: 2019

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1901.06923

Authors: Camps, Eduardo, Martínez-Moro, Edgar, Sarmiento, Eliseo

Institution: Instituto Politécnico Nacional

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Consejo Nacional de Ciencia y Tecnología, Universidad de Valladolid

OpenAlex ID: W4288627440

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