On the Construction of Codes from an Asymptotically Good Tower over F8
Serdica Journal of Computing (2007)
- Volume: 1, Issue: 2, page 171-184
- ISSN: 1312-6555
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topCaleb McKinley, Shor. "On the Construction of Codes from an Asymptotically Good Tower over F8." Serdica Journal of Computing 1.2 (2007): 171-184. <http://eudml.org/doc/11417>.
@article{CalebMcKinley2007,
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.},
author = {Caleb McKinley, Shor},
journal = {Serdica Journal of Computing},
keywords = {Asymptotically Good Tower; Code Construction; Desingularization; asymptotically good tower; code construction; desingularization},
language = {eng},
number = {2},
pages = {171-184},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On the Construction of Codes from an Asymptotically Good Tower over F8},
url = {http://eudml.org/doc/11417},
volume = {1},
year = {2007},
}
TY - JOUR
AU - Caleb McKinley, Shor
TI - On the Construction of Codes from an Asymptotically Good Tower over F8
JO - Serdica Journal of Computing
PY - 2007
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 1
IS - 2
SP - 171
EP - 184
AB - 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.
LA - eng
KW - Asymptotically Good Tower; Code Construction; Desingularization; asymptotically good tower; code construction; desingularization
UR - http://eudml.org/doc/11417
ER -
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