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Partial permutation decoding for codes from affine geometry designs

Authors:	J D Key T P McDonough V C Mavron

Institution:	(1) Department of Mathematical Sciences, Clemson University, Clemson, SC, 29634, U.S.A;(2) Institute of Mathematical and Physical Sciences, University of Wales, Aberystwyth, Ceredigion, SY23 3BZ, U.K

Abstract:	We find explicit PD-sets for partial permutation decoding of the generalized Reed-Muller codes ${{\mathcal{R}}_{{\mathbb{F}}_{p}}}\,(2(p - 1), 3)$ from the affine geometry designs $AG_{3,1}({\mathbb{F}}_{p})$ of points and lines in dimension 3 over the prime field of order p, using the information sets found in 8]. This work was supported by the DoD Multidisciplinary University Research Initiative (MURI) program administered by the Office of Naval Research under Grant N00014-00-1-0565.

Keywords:	05 51 94
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