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Euclidean weights of codes from elliptic curves over rings |
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| Authors: | José Felipe Voloch Judy L. Walker |
| Affiliation: | Department of Mathematics, University of Texas, Austin, Texas 78712 ; Department of Mathematics and Statistics, University of Nebraska, Lincoln, Nebraska 68588-0323 |
| 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. |
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