The Elliptic Curve Digital Signature Algorithm (ECDSA)

Keywords

Elliptic Curve Digital Signature Algorithm, Elliptic curve cryptography, Elliptic curve point multiplication, Post-quantum cryptography, Algorithm

References

• Finite field for scientists and engineersRobert J. McEliece — 1987
• Entity Authentication Using Public Key CryptographyS. Wakid — 1997
• A Course in Number Theory and CryptographyNeal Koblitz — 1987
• Elliptic curves in cryptographyIan F. Blake, G. Seroussi, Nigel P. Smart — 1999
• The Xedni Calculus and the Elliptic Curve Discrete Logarithm ProblemJoseph H. Silverman — 2000
• PGP in Constrained Wireless DevicesMichael Brown, Donny Cheung, Darrel Hankerson — 2000
• DIGITALIZED SIGNATURES AND PUBLIC-KEY FUNCTIONS AS INTRACTABLE AS FACTORIZATIONM. O. Rabin — 1979
• Finite Fields for Computer Scientists and EngineersRobert J. McEliece — 1986
• Elliptic Curves and Their Applications to CryptographyAndreas Enge — 1999
• Handbook of Applied CryptographyMenezes, Alfred J., Oorschot, Paul C. van, Vanstone, Scott A. — 2018
• Computing Isogenies in F2nReynald Lercier — 1996
• Fermat quotients and the polynomial time discrete log algorithm for anomalous elliptic curvesTakakazu Satoh, Kiyomichi Araki — 1998
• Analysis of the Xedni Calculus AttackMichael J. Jacobson, Neal Koblitz, Joseph H. Silverman — 2000
• A new signature scheme based on the DSA giving message recoveryKaisa Nyberg, Rainer A. Rueppel — 1993
• Discrete Logarithms in GF(P) Using the Number Field SieveDaniel M. Gordon — 1993
• Low complexity normal basesDavid Ash, Ian F. Blake, Scott A. Vanstone — 1989
• A modular approach to the design and analysis of authentication and key exchange protocols (extended abstract)Mihir Bellare, Ran Canetti, Hugo Krawczyk — 1998
• Evaluation of discrete logarithms in a group of p-torsion points of an elliptic curve in characteristic pIgor Semaev — 1998
• An improved algorithm for computing logarithms over GF(p) and its cryptographic significance (Corresp.)S.C. Pohlig, Martin E. Hellman — 1978
• Authentication and authenticated key exchangesWhitfield Diffie, Paul C. van Oorschot, Michael J. Wiener — 1992

Cited by

• Lessons learned on implementing ECDSA on a Java smart cardTommi Elo — 2000
• Interoperable and flexible digital signatures for e-government and e-commerceHarald Baier, Markus Ruppert — 2004
• Protecting privacy and ensuring security of RFID systems using private authentication protocolsMd. Endadul Hoque — 2010
• Advanced personalization of IPTV servicesSongbo Song — 2012
• Performance evaluation of security mechanisms in Cloud NetworksAnand Kannan — 2012
• Efficient Comb Elliptic Curve Multiplication Methods Resistant to Power AnalysisMin Feng, Bin Zhu, Maozhi Xu — 2005
• Cryptanalysis of an Elliptic Curve-based Signcryption SchemeMohsen Toorani, Beheshti, A. A. — 2010
• Perspektive kryptografischer Verfahren auf elliptischen KurvenAndreas Bertsch, Frank Bourseau, Dirk Fox — 2002
• A New Secure Authentication Scheme Based Threshold ECDSA For Wireless Sensor NetworkHao Wang, Zhongfu Wu, Xin Tan — 2006
• Evaluation of Security Level of Cryptography: MY-ELLTY Signature SchemeAlfred Menezes, Minghua Qu, D. R. Stinson — 2001
• Signcryption schemes based on elliptic curve cryptographyBiswojit Nayak — 2014
• Joint Sparse Form of Window Three for Koblitz CurveYong Ding, Kwok‐Wo Wong, Yumin Wang — 2006
• Power Analyze of Elliptic Curve Cryptography for Usage in Wireless Sensor NetworksKukuseva, Maja, Aleksandar Risteski, Dushan Bikov — 2011
• Elliptic curve and password based dynamic key agreement in wireless ad-hoc networksIoannis Askoxylakis, Diomedes D. Kastanis, Apostolos Traganitis — 2006
• Application-driven security in wireless sensor networks (seguridad orientada a aplicaciones en redes de sensores)Rodrigo Román Castro — 2008
• Real-time Car-to-X Communication Security and E/E Architecture IntegrationBenjamin Glas, Oliver Sander, Klaus D. Müller-Glaser — 2012
• An efficient authentication framework for wireless sensor networksRehana Yasmin — 2012
• Secure electronic tenderingRong Du — 2007
• EM Analysis of ECC Computations on Mobile DevicesSimon C. K. Ho — 2005
• JASS 2005: Algorithms for IT Security Digital SignaturesOlga Shishenina — 2005

Related papers

• Establishement of elliptic curve cryptosystemBin Yu — 2010
• Research of elliptic curve cryptosystemXU Zhan-wen — 2004
• Implementation of Elliptic Curve Digital Signature AlgorithmAqeel Khalique, Kuldip Singh, Sandeep K. Sood — 2010
• Quantum Cryptoanalysis of Elliptic Curve SystemsJuan Manuel García‐Chamizo, Rolando Menchaca — 2001
• ELLIPTIC CURVE DIGITAL SIGNATURE ALGORITHMT. Johnson — 2021
• Fast verification algorithm in elliptic curve digital signature algorithmGuoqiang Bai — 2003