New designing of cryptosystems based on quadratic fields

DOI10.1007/s11432-008-0091-4zbMath1210.94087OpenAlexW2077412566MaRDI QIDQ954438

Zhen Fu Cao, Xiao-lei Dong, Li-Cheng Wang

Publication date: 10 November 2008

Published in: Science in China. Series F (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11432-008-0091-4

zbMATH Keywords

quadratic fieldspublic key cryptosystemprovable securityquadratic field cryptography

Mathematics Subject Classification ID

Quadratic extensions (11R11) Cryptography (94A60)

Cites Work

• A key-exchange system based on imaginary quadratic fields
• Towards practical non-interactive public-key cryptosystems using non-maximal imaginary qua\-dratic orders
• A signature scheme based on the intractability of computing roots
• Diophantine equations and class numbers of real quadratic fields
• Security Proofs for Signature Schemes
• A Monte Carlo Factoring Algorithm With Linear Storage
• A public key cryptosystem and a signature scheme based on discrete logarithms
• A method for obtaining digital signatures and public-key cryptosystems
• Reducing elliptic curve logarithms to logarithms in a finite field
• Advances in Elliptic Curve Cryptography
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