The geometry of flex tangents to a cubic curve and its parameterizations

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• 作者：Jean-Marc Couveignes^a ; ^b ; ^c ; ¹ ; ^{Jean-Marc.Couveignes@math.u-bordeaux1.fr} ; Jean-Gabriel Kammerer^d ; ^e
• 关键词：Elliptic curves ; Cryptography ; Encoding ; K3 surfaces
• 刊名：Journal of Symbolic Computation
• 出版年：2012
• 出版时间：March 2012
• 年：2012
• 卷：47
• 期：3
• 页码：266-281
• 全文大小：362 K

文摘

We show how the study of the geometry of the nine flex tangents to a cubic produces pseudo-parameterizations, including the ones given by Icart, Kammerer, Lercier, Renault and Farashahi, and infinitely many new ones.