Codes on subgroups of weighted projective tori

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ŞAHİN M., YAYLA O.

Designs, Codes, and Cryptography, vol.92, no.5, pp.1201-1218, 2024 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 92 Issue: 5
  • Publication Date: 2024
  • Doi Number: 10.1007/s10623-023-01337-y
  • Journal Name: Designs, Codes, and Cryptography
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, PASCAL, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, MathSciNet, zbMATH
  • Page Numbers: pp.1201-1218
  • Keywords: 11T71, 14G05, Primary 14M25, Secondary 94B27, Toric code, Weighted projective space, Weighted Reed-Muller code
  • Open Archive Collection: AVESIS Open Access Collection
  • Middle East Technical University Affiliated: Yes

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) .