Euclidean Weights of Codes from Elliptic Curves over Rings

  title={Euclidean Weights of Codes from Elliptic Curves over Rings},
  author={Jos{\'e} Felipe Voloch and Judy L. Walker},
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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