Codes on subgroups of weighted projective tori

Mesut Şahin; Oğuz Yayla

doi:10.1007/s10623-023-01337-y

Codes on subgroups of weighted projective tori

Mesut Şahin
, Oğuz Yayla

Division of Geometry

Middle East Technical University

Research output: Contribution to journal › Article › peer-review

Abstract

We obtain certain algebraic invariants relevant in studying codes on subgroups of weighted projective tori inside an n-dimensional weighted projective space. As application, we compute all the main parameters of generalized toric codes on these subgroups of tori lying inside a weighted projective plane of the form P(1,1,a).

Original language	English
Pages (from-to)	1201-1218
Number of pages	18
Journal	Designs, Codes, and Cryptography
Volume	92
Issue number	5
DOIs	https://doi.org/10.1007/s10623-023-01337-y
Publication status	Published - May 2024

Keywords

11T71
14G05
Primary 14M25
Secondary 94B27
Toric code
Weighted Reed-Muller code
Weighted projective space

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10.1007/s10623-023-01337-y

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AU - Yayla, Oğuz

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KW - Primary 14M25

KW - Secondary 94B27

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KW - Weighted Reed-Muller code

KW - Weighted projective space

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IS - 5

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Codes on subgroups of weighted projective tori

Abstract

Keywords

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