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Volume 1 Number 2 >
| Title: | On the Construction of Codes from an Asymptotically Good Tower over F8 |
| Authors: | Caleb McKinley, Shor |
| Keywords: | Asymptotically Good Tower
Code Construction
Desingularization |
| Issue Date: | 2007 |
| Publisher: | Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Citation: | Serdica Journal of Computing, Vol. 1, No 2, (2007), 171p-184p |
| Abstract: | In 2002, van der Geer and van der Vlugt gave explicit equations for an asymptotically good tower of curves over the field F8. In this paper,
we will present a method for constructing Goppa codes from these curves as well as explicit constructions for the third level of the tower. The approach is to find an associated plane curve for each curve in the tower and then to use the algorithms of Haché and Le Brigand to find the corresponding Goppa codes. |
| URI: | http://hdl.handle.net/10525/338 |
| ISSN: | 1312-6555 |
| Appears in Collections: | Volume 1 Number 2
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