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A comparison of MNT curves and supersingular curves

✍ Scribed by D. Page; N. P. Smart; F. Vercauteren


Publisher
Springer
Year
2006
Tongue
English
Weight
185 KB
Volume
17
Category
Article
ISSN
0938-1279

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Class numbers of quadratic fields, Hasse
✍ John Brillhart; Patrick Morton πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 389 KB

Using the theory of elliptic curves, we show that the class number hðÀpÞ of the field QΓ° ffiffiffiffiffiffi ffi Γ€p p Þ appears in the count of certain factors of the Legendre polynomials P m Γ°xÞ Γ°mod pÞ; where p is a prime 43 and m has the form Γ°p Γ€ eÞ=k; with k ΒΌ 2; 3 or 4 and p e Γ°mod kÞ: As part