Title of article
Bases of Minimum-Weight Vectors for Codes from Designs
Author/Authors
S. Gao، نويسنده , , J. D. Key، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1998
Pages
15
From page
1
To page
15
Abstract
An explicit basis of incidence vectors for thep-ary code of the design of points and hyperplanes of the affine geometryAGm(Fp) for any primepand any integerm≥2 is obtained, which, as a corollary, gives a new elementary proof that this code is a generalized Reed–Muller code. In the proof a class of nonsingular matrices related to Vandermonde matrices is introduced.
Journal title
Finite Fields and Their Applications
Serial Year
1998
Journal title
Finite Fields and Their Applications
Record number
700908
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