Crypto means cryptography
The most important cryptography papers spanning the past, present, and future of cryptosystems & cryptology.
Use of Elliptic Curves in Cryptography
Victor Miller — Published August 1985
This paper, along with Elliptic Curve Cryptosystems, independently proposed the use of elliptic curves in cryptography.
Unlike other public-key cryptosystems — like RSA, which relies on the fact that factoring large integers is slow and multiplication is fast (the Prime Factorization Problem) — elliptic curve cryptography (ECC) depends on the difficulty of the Elliptic Curve Discrete Logarithm Problem: given two points, P and Q, on an elliptic curve, find the integer n, if it exists, such that Q = nP.
ECC provides similar security guarantees compared to RSA, but with significantly reduced key sizes and more efficient computation. ECC — specifically, Elliptic Curve Diffie-Hellman (ECDH) — is now the preferred authentication mechanism for secure web browsing over SSL/TLS.Download PDF