Euclidean weights of codes from elliptic curves over rings

Authors
Voloch, JF Walker, JL
Citation
Jf. Voloch et Jl. Walker, Euclidean weights of codes from elliptic curves over rings, T AM MATH S, 352(11), 2000, pp. 5063-5076
Citations number
21
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
352
Issue
11
Year of publication
2000
Pages
5063 - 5076
Database
ISI
SICI code
0002-9947(2000)352:11<5063:EWOCFE>2.0.ZU;2-5
Abstract
We construct certain error-correcting codes over finite rings and estimate their parameters. For this purpose, we need to develop some tools, notably an estimate for certain exponential sums and some results on canonical lift s of elliptic curves. These results may be of independent interest.