Building curves with arbitrary small MOV degree over finite prime fields

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Abstract

We present a fast algorithm for building ordinary elliptic curves over finite prime fields having arbitrary small MOV degree. The elliptic curves are obtained using complex multiplication by any desired discriminant. © 2004 International Association for Cryptologic Research.

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Dupont, R., Enge, A., & Morain, F. (2005). Building curves with arbitrary small MOV degree over finite prime fields. Journal of Cryptology, 18(2), 79–89. https://doi.org/10.1007/s00145-004-0219-7

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