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https://hdl.handle.net/10316/113155| Title: | Parameterized codes over graphs | Authors: | Neves, Jorge Vaz Pinto, Maria |
Keywords: | Minimum Distance; Regularity; Dimension; Linear Code | Issue Date: | 2022 | Publisher: | Springer Nature | Project: | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB/00324/2020/PT/Center for Mathematics, University of Coimbra info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB/04459/2020/PT/Center for Mathematical Analysis, Geometry and Dynamical Systems info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP/04459/2020/PT/Center for Mathematical Analysis, Geometry and Dynamical Systems |
Serial title, monograph or event: | Sao Paulo Journal of Mathematical Sciences | Volume: | 17 | Issue: | 1 | Abstract: | In this article we review known results on parameterized linear codes over graphs, introduced by Rentería et al. (Finite Fields Appl 17(1):81–104, 2011) . Very little is known about their basic parameters and invariants. We review in detail the parameters dimension, regularity and minimum distance. As regards the parameter dimension, we explore the connection to Eulerian ideals in the ternary case and we give new combinatorial formulas. | URI: | https://hdl.handle.net/10316/113155 | ISSN: | 1982-6907 2316-9028 |
DOI: | 10.1007/s40863-022-00335-7 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais I&D CMUC - Artigos em Revistas Internacionais |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Parameterized-codes-over-graphsSao-Paulo-Journal-of-Mathematical-Sciences.pdf | 1.39 MB | Adobe PDF | View/Open |
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