A key-exchange protocol using real quadratic fields

DOI10.1007/BF02318548zbMath0816.94018MaRDI QIDQ1335027

Hugh C. Williams, Johannes A. Buchmann, Renate Scheidler

Publication date: 26 September 1994

Published in: Journal of Cryptology (Search for Journal in Brave)

zbMATH Keywords

securityreal quadratic fielddiscrete logarithmskey-exchange protocoldistance of ideals

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Quadratic extensions (11R11) Cryptography (94A60)

Related Items

The continued fraction algorithm and regulator for quadratic function fields of characteristic 2 ⋮ Key-exchange in real quadratic congruence function fields ⋮ Equivalences between elliptic curves and real quadratic congruence function fields ⋮ On the probability of generating a lattice ⋮ Cryptography based on number fields with large regulator ⋮ Comparison of scalar multiplication on real hyperelliptic curves ⋮ Об использовании групп классов идеалов квадратичных полей для построения криптографических систем с открытым ключом ⋮ Cryptographic aspects of real hyperelliptic curves ⋮ The infrastructure of a global field of arbitrary unit rank

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A key distribution system equivalent to factoring
• A key-exchange system based on imaginary quadratic fields
• Some Computational Results on a Problem Concerning Powerful Numbers
• New directions in cryptography
• Sur le 2-groupe des classes d'idéaux des corps quadratiques.
• On the Parallel Generation of the Residues for the Continued Fraction Factoring Algorithm