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Problemy Peredachi Informatsii, 1987, Volume 23, Issue 4, Pages 19–34
(Mi ppi827)
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This article is cited in 3 scientific papers (total in 3 papers)
Information Theory and Coding Theory
Spectra of Algebraic-Geometric Codes
G. L. Katsman, M. A. Tsfasman
Abstract:
We derive bounds on the enumerator of an arbitrary algebraic-geometric code. We calculate in full the weight distribution of the code constructed from all the points of an elliptical curve. The weight distribution (the enumerator) is found to depend on the group of points of this curve and on an element of this group. The number of minimum-weight vectors is minimized both by elements and by curves. The possibility that such a code is an MDS code is explored.
Received: 05.09.1987
Citation:
G. L. Katsman, M. A. Tsfasman, “Spectra of Algebraic-Geometric Codes”, Probl. Peredachi Inf., 23:4 (1987), 19–34; Problems Inform. Transmission, 23:4 (1987), 262–275
Linking options:
https://www.mathnet.ru/eng/ppi827 https://www.mathnet.ru/eng/ppi/v23/i4/p19
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Statistics & downloads: |
Abstract page: | 468 | Full-text PDF : | 232 | First page: | 2 |
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