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 i
Divisors of codes of Reed-Muller type
β Scribed by Harold N. Ward
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 856 KB
- Volume
- 131
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
This paper shows how to construct analogs of Reed-Muller codes from partially ordered sets. In the case that the partial:; ordered set is Eulertan the length of the code is the number of elements in the poset, the dimension is the size of a sePected order ideal and the minimum distance is the minimu
We present lower and upper bounds on the covering radius of Reed-Muller codes, yielding asymptotical improvements on known results. The lower bound is simply the sphere covering one (not very new). The upper bound is derived from a thorough use of a lemma, the 'essence of Reed-Mullerity'. The idea
Berger, T. and P. Charpin, The automorphism group of Generalized Reed-Muller codes, Discrete Mathematics 117 (1993) l-17. We prove that the automorphism group of Generalized Reed-Muller codes is the general linear nonhomogeneous group. The Generalized Reed-Muller codes are introduced by Kasami, Lin