Small polygons and toric codes

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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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
Keywords: Lattice polygon, Toric code, Log del Pezzo surface, Minimum distance
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
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Depositing User: Kasprzyk, Dr Alexander
Date Deposited: 12 Nov 2015 12:09
Last Modified: 04 May 2020 20:19

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