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Bases of Minimum-Weight Vectors for Codes from Designs

✍ Scribed by S. Gao; J.D. Key

Book ID
102572004
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
332 KB
Volume
4
Category
Article
ISSN
1071-5797

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✦ Synopsis

An explicit basis of incidence vectors for the p-ary code of the design of points and hyperplanes of the affine geometry AG K (F N ) for any prime p and any integer m52 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.

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