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Higher Weights of Anticodes and the Generalized Griesmer Bound

✍ Scribed by Dmitrii Yu. Nogin

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
146 KB
Volume
5
Category
Article
ISSN
1071-5797

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✦ Synopsis

We show that the minimum r-weight d P of an anticode can be expressed in terms of the maximum r-weight of the corresponding code. As examples, we consider anticodes from homogeneous hypersurfaces (quadrics and Hermitian varieties). In a number of cases, all di!erences (except for one) of the weight hierarchy of such an anticode meet an analog of the generalized Griesmer bound.

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