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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Blake, I.F. Seroussi, G. Roth, R.M. |
| Copyright Year | 1998 |
| Description | Author affiliation: Hewlett-Packard Co., Palo Alto, CA, USA (Blake, I.F.) |
| Abstract | Elliptic curves lie at the intersection of coding and cryptography. A key problem for both subjects is the determination of the number of points on the curve. For coding theory, the number of points one obtains is approximately the length of the code. For cryptography it is important that the group of points contain as large a subgroup of prime order as possible. In both cases the exact number of points is required. Using character theory and results on Kloosterman sums, information is obtained on the structure of solutions of a nonsingular elliptic curve over a finite field of characteristic two. A related enumeration problem of certain irreducible polynomials is also considered. |
| File Size | 112156 |
| File Format | |
| ISBN | 0780350006 |
| DOI | 10.1109/ISIT.1998.708679 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1998-08-16 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Elliptic curves Equations Polynomials Laboratories Galois fields Elliptic curve cryptography Computer science Codes Additives |
| Content Type | Text |
| Resource Type | Article |
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