Single curve for determining the order of an elliptic filter
β Scribed by Lin, P.-M.
- Book ID
- 114560034
- Publisher
- IEEE
- Year
- 1990
- Weight
- 243 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0098-4094
- DOI
- 10.1109/31.57610
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## Abstract In [1, 2, 3, 4, 6], the authors posed and discussed some boundaryβvalue problems of second order elliptic equations with parabolic degeneracy. In [5], the authors posed and discussed some boundaryβvalue problems of second order mixed equations with degenerate curve on the sides of an an
## Communicated by J. Lagarias Abstract--Given a square-free integer N, the group of points on an elliptic curve over the ring ZN is defined in the natural way. We prove that computing the order of points on elliptic curves over ZN is as difficult as factoring N, in the sense of randomly polynomia