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In 1994, the well-known Diffie-Hellman key exchange protocol was for the first time implemented in a non-group based setting. Here, the underlying key space was the set of reduced principal ideals of a real quadratic number field. This set does not possess a group structure, but instead exhibits a so-called infrastructure. More recently, the scheme was extended to real quadratic congruence function fields, whose set of reduced principal ideals has a similar infrastructure. As always, the security...

Erratum: "On the number of prime divisors of the order of elliptic curves modulo p" (Acta Arith. 117 (2005), 341-352)

Jörn Steuding, Annegret Weng (2005)

Acta Arithmetica

Estimating isogenies on elliptic curves.

D.W. Masser, G. Wüstholz (1990)

Inventiones mathematicae

Étude de la courbe elliptique $y^{2} = 4 x^{3} - 27 {((3 + \sqrt{- 19}) / 2)}^{2}$ et monogénéité de certains anneaux d’entiers

Vincent Fleckinger (1989)

Journal de théorie des nombres de Bordeaux

Euler's concordant forms

Ken Ono (1996)

Acta Arithmetica

Experimental study of the rank of families of elliptic curves over $ℚ$ . (Étude expérimentale du rang de familles de courbes elliptiques sur $ℚ$ .)

Fermigier, Stéfane (1996)

Experimental Mathematics

Displaying 1 – 18 of 18

Einbettungen kommutativer algebraischer Gruppen und einige ihrer Eigenschaften.

Elliptic curves and canonical subgroups of formal groups.

Elliptic curves and continued fractions.

Elliptic curves and local $ϵ$ -factors

Elliptic curves and $ℤ_{p}$ -extensions

Elliptic curves on Abelian surfaces.

Elliptic curves with a rational point of finite order.

Elliptic curves with bounded ranks in function field towers

Empilements de sphères

Equivalences between elliptic curves and real quadratic congruence function fields

Erratum: "On the number of prime divisors of the order of elliptic curves modulo p" (Acta Arith. 117 (2005), 341-352)

Estimating isogenies on elliptic curves.

Étude de la courbe elliptique $y^{2} = 4 x^{3} - 27 {((3 + \sqrt{- 19}) / 2)}^{2}$ et monogénéité de certains anneaux d’entiers

Euler's concordant forms

Experimental study of the rank of families of elliptic curves over $ℚ$ . (Étude expérimentale du rang de familles de courbes elliptiques sur $ℚ$ .)

Explicit 4-descents on an elliptic curve

Explicit $p$ -descent for elliptic curves in characteristic $p$

Explicit p-adic theta function.

Currently displaying 1 – 18 of 18