Key-exchange in real quadratic congruence function fields
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Publication:1910429
DOI10.1007/BF00125081zbMath0851.94021MaRDI QIDQ1910429
Renate Scheidler, Andreas Stein, Hugh C. Williams
Publication date: 8 April 1996
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Arithmetic theory of algebraic function fields (11R58) Quadratic extensions (11R11) Cryptography (94A60)
Related Items (15)
Smooth ideals in hyperelliptic function fields ⋮ The continued fraction algorithm and regulator for quadratic function fields of characteristic 2 ⋮ Equivalences between elliptic curves and real quadratic congruence function fields ⋮ Fast Jacobian arithmetic for hyperelliptic curves of genus 3 ⋮ Jacobian Versus Infrastructure in Split Hyperelliptic Curves ⋮ Arithmetic on superelliptic curves ⋮ The parallelized Pollard kangaroo method in real quadratic function fields ⋮ Explicit bounds and heuristics on class numbers in hyperelliptic function fields ⋮ Class group frequencies of real quadratic function fields: The degree 4 case ⋮ Comparison of scalar multiplication on real hyperelliptic curves ⋮ Cryptographic aspects of real hyperelliptic curves ⋮ The infrastructure of a global field of arbitrary unit rank ⋮ Decision problems in quadratic function fields of high genus ⋮ Computing discrete logarithms in real quadratic congruence function fields of large genus ⋮ Real and imaginary quadratic representations of hyperelliptic function fields
Cites Work
- A key-exchange protocol using real quadratic fields
- Equivalences between elliptic curves and real quadratic congruence function fields
- Analytische Zahlentheorie in Körpern der Charakteristik \(p\)
- Lectures on the theory of algebraic functions of one variable
- New directions in cryptography
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