FAMILIES OF CURVES AND WEIGHT DISTRIBUTIONS OF CODES

Authors
Citation
R. Schoof, FAMILIES OF CURVES AND WEIGHT DISTRIBUTIONS OF CODES, Bulletin, new series, of the American Mathematical Society, 32(2), 1995, pp. 171-183
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
02730979
Volume
32
Issue
2
Year of publication
1995
Pages
171 - 183
Database
ISI
SICI code
0273-0979(1995)32:2<171:FOCAWD>2.0.ZU;2-C
Abstract
In this expository paper we show how one can, in a uniform way, calcul ate the weight distributions of some well-known binary cyclic codes. T he codes are related to certain families of curves, and the weight dis tributions are related to the distribution of the number of rational p oints on the curves.