The use of elliptic curves in cryptography

By Tibor Juhas. 2007

2,319 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/f5d63ef587780db5ec2df1ac25dc3c136edf61b4

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Citations in the corpus

Elliptic Curve Cryptography in Practice (2014, unknown): “In addition, if a cipher suite that involves ECC is desired, the client must include a set of supported elliptic curves in a TLS extension in its client hello message.”
Post-Quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem (2015, background): “One of the catalysts for this direction of research is that, unlike other numbertheoretic primitives1 such as RSA [6] and elliptic curve cryptography (ECC) [7], [8], lattices are currently believed to offer resilience against attacks using quantum computers.”
Secure Anonymous Key Distribution Scheme for Smart Grid (2016, background): “In recent years, elliptic curve cryptosystem (ECC) [16], [17] has become one of the most popular public key cryptosystems.”
Towards Post-Quantum Blockchain: A Review on Blockchain Cryptography Resistant to Quantum Computing Attacks (2020, methodology): “ECDSA (Elliptic Curve Digital Signature Algorithm) [14], [15], ECDH (Elliptic Curve Diffie-Hellman) [16] or DSA (Digital Signature Algorithm) [17], which can be broken in polynomial-time with Shor’s algorithm [18] on a sufficiently powerful quantum computer.”
A Secured Authentication Protocol for Wireless Sensor Networks Using Elliptic Curves Cryptography (2011, background): “The key exchange between UA and UB can be done as follows [18-20]:”
Curve25519: New Diffie-Hellman Speed Records (2006, background): “Typical elliptic-curve-Diffie-Hellman functions use 64-byte public keys; those keys can be compressed to half size, as suggested by Miller in [46], but the time for decompression is quite noticeable and usually not reported.”
Bitcoin and Beyond: A Technical Survey on Decentralized Digital Currencies (2016, methodology): “In order to secure transactions, the Bitcoin protocol makes heavy use of elliptic curve cryptography [Miller 1985, Koblitz 1987].”
A Survey on Security and Privacy Issues of Bitcoin (2017, unknown): “phy [119] for securing the transactions.”
Post-quantum cryptography (2008, unknown): “Replacing multiplication mod p with addition of points on an “elliptic curve” mod p breaks “elliptic-curve cryptography” [11, 12] (ECC), a popular alternative to RSA.”
A Survey on Wireless Sensor Network Security (2009, methodology): “The attraction of ECC is that it offers equal security for a far smaller key size, thereby reducing processing and communication overhead.”
Faster Addition and Doubling on Elliptic Curves (2007, unknown): “See [37, page 424].”