File(s) not publicly available
Cubic curves, finite geometry and cryptography
journal contribution
posted on 2023-06-07, 23:19 authored by J Hirschfeld, A Bruen, D WehlauSome geometry on non-singular cubic curves, mainly over finite fields, is surveyed. Such a curve has 9, 3, 1 or 0 points of inflexion, and cubic curves are classified accordingly. The group structure and the possible numbers of rational points are also surveyed. A possible strengthening of the security of elliptic curve cryptography is proposed using a shared secret related to the group law. Cubic curves are used also in a new way to construct sets of points having various combinatorial and geometric properties that are of particular interest in finite Desarguesian planes.
History
Publication status
- Published
Journal
Acta Applicandae MathematicaeISSN
1572-9036Publisher
Springer VerlagExternal DOI
Issue
3Volume
115Page range
265-278Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC