Some computational problems of cryptographic significance concerning elliptic curves over rings (Q1854282)
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scientific article; zbMATH DE number 1853046
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some computational problems of cryptographic significance concerning elliptic curves over rings |
scientific article; zbMATH DE number 1853046 |
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Some computational problems of cryptographic significance concerning elliptic curves over rings (English)
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14 January 2003
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Two computational problems related to an elliptic curve \(E\) over a finite ring \(Z_n\) with \(n\) square-free are studied, namely computing the number of rational points of \(E\) and finding \(Q\) such that, for a given rational point \(P\), \(2Q= P\). Concerning the computational complexity, the two problems are equivalent to integer factoring.
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