## Euclidean weights of codes from elliptic curves over rings

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- by José Felipe Voloch and Judy L. Walker
- Trans. Amer. Math. Soc.
**352**(2000), 5063-5076 - DOI: https://doi.org/10.1090/S0002-9947-00-02637-4
- Published electronically: June 28, 2000
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## 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.## References

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## Bibliographic Information

**José Felipe Voloch**- Affiliation: Department of Mathematics, University of Texas, Austin, Texas 78712
- MR Author ID: 179265
- ORCID: 0000-0003-1669-9306
- Email: voloch@math.utexas.edu
**Judy L. Walker**- Affiliation: Department of Mathematics and Statistics, University of Nebraska, Lincoln, Nebraska 68588-0323
- Email: jwalker@math.unl.edu
- Received by editor(s): October 29, 1998
- Received by editor(s) in revised form: September 16, 1999
- Published electronically: June 28, 2000
- Additional Notes: The first author was supported in part by NSA Grant #MDA904-97-1-0037.

The second author was supported in part by NSF Grant #DMS-9709388. - © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**352**(2000), 5063-5076 - MSC (1991): Primary 94B27; Secondary 11T71, 11G07
- DOI: https://doi.org/10.1090/S0002-9947-00-02637-4
- MathSciNet review: 1778505