Codes on subgroups of weighted projective tori

Codes on subgroups of weighted projective tori

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 p...

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Veröffentlicht in:Designs, codes, and cryptography codes, and cryptography, 2024-05, Vol.92 (5), p.1201-1218
Hauptverfasser: Şahin, Mesut, Yayla, Oğuz
Format: Artikel
Sprache:eng
Schlagworte:
Coding and Information Theory
Computer Science
Cryptology
Discrete Mathematics in Computer Science
Subgroups
Toruses
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Zusammenfassung: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 ) .
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-023-01337-y