Efficient Algorithms for Generating Elliptic Curves over Finite Fields Suitable for Use in Cryptography
The subject of the thesis at hand is the description of an efficient algorithm for finding an elliptic curve over a finite prime field of large characteristic suitable for use in cryptography. The algorithm is called cryptoCurve. It makes use of the theory of complex multiplication. Our work relies...
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https://tuprints.ulb.tu-darmstadt.de/211/1/dissertation_harald_baier.pdfBaier, Harald <http://tuprints.ulb.tu-darmstadt.de/view/person/Baier=3AHarald=3A=3A.html> (2002): Efficient Algorithms for Generating Elliptic Curves over Finite Fields Suitable for Use in Cryptography.Darmstadt, Technische Universität, [Online-Edition: http://elib.tu-darmstadt.de/diss/000211 <http://elib.tu-darmstadt.de/diss/000211> <official_url>],[Ph.D. Thesis]