Constructing elliptic curves over finite fields using complex multiplication
Master thesis
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http://hdl.handle.net/11250/258343Utgivelsesdato
2006Metadata
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Sammendrag
We study and improve the CM-method for the creation of elliptic curves with specified group order over finite fields. We include a thorough review of the mathematical theory needed to understand this method. The ability to construct elliptic curves with very special group order is important in pairing-based cryptography.