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

Department of Physics

Research output: Contribution to journal › Article › peer-review

33 Citations (Scopus)

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.

Original language	English
Pages (from-to)	232-247
Number of pages	16
Journal	Finite Fields and Their Applications
Volume	12
Issue number	2
DOIs	https://doi.org/10.1016/j.ffa.2005.05.007
Publication status	Published - Apr 2006

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10.1016/j.ffa.2005.05.007

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

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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",

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AU - McDonough, Thomas

AU - Mavron, Vassili C.

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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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