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Reed-Muller-Type Codes Over the Segre Variety

✍ Scribed by M. González-Sarabia; C. Renterı́a; H. Tapia-Recillas

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
124 KB
Volume
8
Category
Article
ISSN
1071-5797

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✦ Synopsis

The a-invariant is determined and a description of the defining ideal for the set S K of rational points of the Segre variety over a finite field K is given. The dimension as well as the minimum distance of a Reed-Muller-type linear code defined over S K are also determined. An example is given to illustrate the ideas.

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