Partial permutation decoding for codes from affine geometry designs

Thomas McDonough; Jennifer D. Key; Vassili Mavron

doi:10.1007/s00022-007-1922-y

Partial permutation decoding for codes from affine geometry designs

Thomas McDonough
, Jennifer D. Key
, Vassili Mavron

Department of Physics

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

1 Citation (Scopus)

Abstract

Explicit PD-sets are found for partial permutation decoding of the generalized Reed-Muller codes from the affine geometry designs of points and lines in dimension 3 over the prime field of order p, using the information sets described by the authors in an earlier paper.

Original language	English
Pages (from-to)	1-2
Number of pages	2
Journal	Journal of Geometry
Volume	88
Issue number	1-2
DOIs	https://doi.org/10.1007/s00022-007-1922-y
Publication status	Published - Mar 2008

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http://hdl.handle.net/2160/5924

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@article{80ed700a4dd141e69aaafe2acdd7ea5f,

title = "Partial permutation decoding for codes from affine geometry designs",

abstract = "Explicit PD-sets are found for partial permutation decoding of the generalized Reed-Muller codes from the affine geometry designs of points and lines in dimension 3 over the prime field of order p, using the information sets described by the authors in an earlier paper.",

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

note = "Journal of Geometry, 88, No. 1-2, 2008, 101-109. DOI: 10.1007/s00022-007-1922-y",

year = "2008",

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AU - Mavron, Vassili

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N2 - Explicit PD-sets are found for partial permutation decoding of the generalized Reed-Muller codes from the affine geometry designs of points and lines in dimension 3 over the prime field of order p, using the information sets described by the authors in an earlier paper.

AB - Explicit PD-sets are found for partial permutation decoding of the generalized Reed-Muller codes from the affine geometry designs of points and lines in dimension 3 over the prime field of order p, using the information sets described by the authors in an earlier paper.

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DO - 10.1007/s00022-007-1922-y

M3 - Article

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VL - 88

SP - 1

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JO - Journal of Geometry

JF - Journal of Geometry

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Partial permutation decoding for codes from affine geometry designs

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