Small polygons and toric codes

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Brown, Gavin and Kasprzyk, Alexander M. (2013) Small polygons and toric codes. Journal of Symbolic Computation, 51 . p. 55. ISSN 0747-7171

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Abstract

We describe two different approaches to making systematic classifications of plane lattice polygons, and recover the toric codes they generate, over small fields, where these match or exceed the best known minimum distance. This includes a [36,19,12]-code over F_7 whose minimum distance 12 exceeds that of all previously known codes.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/1002255
Keywords: Lattice polygon, Toric code, Log del Pezzo surface, Minimum distance
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1016/j.jsc.2012.07.001
Related URLs:
URLURL Type
http://www.journals.elsevier.com/journal-of-symbolic-computationPublisher
Depositing User: Kasprzyk, Dr Alexander
Date Deposited: 12 Nov 2015 12:09
Last Modified: 04 May 2020 20:19
URI: https://eprints.nottingham.ac.uk/id/eprint/30722

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