Skip to main content

Research Repository

See what's under the surface

Advanced Search

Small polygons and toric codes

Brown, Gavin; Kasprzyk, Alexander M.

Authors

Gavin Brown

Alexander M. Kasprzyk



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.

Journal Article Type Article
Publication Date Apr 1, 2013
Journal Journal of Symbolic Computation
Print ISSN 0747-7171
Electronic ISSN 0747-7171
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 51
APA6 Citation Brown, G., & Kasprzyk, A. M. (2013). Small polygons and toric codes. Journal of Symbolic Computation, 51, doi:10.1016/j.jsc.2012.07.001
DOI https://doi.org/10.1016/j.jsc.2012.07.001
Keywords Lattice polygon, Toric code, Log del Pezzo surface, Minimum distance
Publisher URL http://www.sciencedirect.com/science/article/pii/S0747717112001150
Related Public URLs http://www.journals.elsevier.com/journal-of-symbolic-computation
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nc-nd/4.0

Files

1204.0248v1.pdf (153 Kb)
PDF

Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nc-nd/4.0





You might also like



Downloadable Citations

;