Euclidean weights of codes from elliptic curves over rings-Reference-Cited by-同舟云学术

Euclidean weights of codes from elliptic curves over rings

Published:2000-06-28 Issue:11 Volume:352 Page:5063-5076
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Voloch José,Walker Judy

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 lifts of elliptic curves. These results may be of independent interest.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2000-352-11/S0002-9947-00-02637-4/S0002-9947-00-02637-4.pdf

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