Information sets and partial permutation decoding for codes from finite geometries

Jennifer D. Key; Thomas McDonough; Vassili C. Mavron

doi:10.1016/j.ffa.2005.05.007

Information sets and partial permutation decoding for codes from finite geometries

Jennifer D. Key, Thomas McDonough, Vassili C. Mavron

Adran Ffiseg

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

34 Dyfyniadau (Scopus)

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We determine information sets for the generalized Reed–Muller codes and use these to apply partial permutation decoding to codes from finite geometries over prime fields. We also obtain new bases of minimum-weight vectors for the codes of the designs of points and hyperplanes over prime fields.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	232-247
Nifer y tudalennau	16
Cyfnodolyn	Finite Fields and Their Applications
Cyfrol	12
Rhif cyhoeddi	2
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1016/j.ffa.2005.05.007
Statws	Cyhoeddwyd - Ebr 2006

Mynediad at Ddogfen

10.1016/j.ffa.2005.05.007

http://hdl.handle.net/2160/1427

Cysylltiad parhaol

Dolen barhaus

Dyfynnu hyn

@article{fdc1107f8c0b4aca93f7f469c3a621f8,

title = "Information sets and partial permutation decoding for codes from finite geometries",

abstract = "We determine information sets for the generalized Reed–Muller codes and use these to apply partial permutation decoding to codes from finite geometries over prime fields. We also obtain new bases of minimum-weight vectors for the codes of the designs of points and hyperplanes over prime fields.",

author = "Key, {Jennifer D.} and Thomas McDonough and Mavron, {Vassili C.}",

note = "Mavron, Vassili; McDonough, T.P.; Key, J.D., (2006) 'Information sets and partial permutation decoding for codes from finite geometries', Finite Fields and their applications 12(2) pp.232-247 RAE2008",

year = "2006",

month = apr,

doi = "10.1016/j.ffa.2005.05.007",

language = "English",

volume = "12",

pages = "232--247",

journal = "Finite Fields and Their Applications",

issn = "1071-5797",

publisher = "Elsevier",

number = "2",

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TY - JOUR

T1 - Information sets and partial permutation decoding for codes from finite geometries

AU - Key, Jennifer D.

AU - McDonough, Thomas

AU - Mavron, Vassili C.

N1 - Mavron, Vassili; McDonough, T.P.; Key, J.D., (2006) 'Information sets and partial permutation decoding for codes from finite geometries', Finite Fields and their applications 12(2) pp.232-247 RAE2008

PY - 2006/4

Y1 - 2006/4

N2 - We determine information sets for the generalized Reed–Muller codes and use these to apply partial permutation decoding to codes from finite geometries over prime fields. We also obtain new bases of minimum-weight vectors for the codes of the designs of points and hyperplanes over prime fields.

AB - We determine information sets for the generalized Reed–Muller codes and use these to apply partial permutation decoding to codes from finite geometries over prime fields. We also obtain new bases of minimum-weight vectors for the codes of the designs of points and hyperplanes over prime fields.

U2 - 10.1016/j.ffa.2005.05.007

DO - 10.1016/j.ffa.2005.05.007

M3 - Article

SN - 1071-5797

VL - 12

SP - 232

EP - 247

JO - Finite Fields and Their Applications

JF - Finite Fields and Their Applications

IS - 2

ER -

Information sets and partial permutation decoding for codes from finite geometries

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