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20012008
most citedFast Elliptic Curve Arithmetic and Improved Weil Pairing Evaluation

48 citations · 75 across the 8 of their papers we have counts for

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Showing 2004Show all

2 papers · 1 filter

math.NT2004★ 1 cited

Computing Modular Polynomials

Denis Charles, Kristin Lauter

We present a new probabilistic algorithm to compute modular polynomials modulo a prime. Modular polynomials parameterize pairs of isogenous elliptic curves and are useful in many a…

math.NT2004★ 2 cited

Class invariants for quartic CM fields

Eyal Z. Goren, Kristin E. Lauter

One can define class invariants for a quartic primitive CM field K as special values of certain Siegel (or Hilbert) modular functions at CM points corresponding to K. We provide ex…