Abelian varieties with prescribed embedding degree

IACR Cryptology ePrint Archive, pp. 60-73, 2008.

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aninteger kprescribed embedding degreeq-weil numberq elementdegree k更多(9+)

摘要

We present an algorithm that, on input of a CM-field K, aninteger k ≥ 1, and a prime r ≡ 1 mod k, constructs a q-Weil numberπ ∈ OK corresponding to an ordinary, simple abelian variety A overthe field F of q elements that has an F-rational point of order r andembedding degree k with respect to r. We then discuss how CM-methods over K can b...更多

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