Overview of History of Elliptic Curves and its use in cryptography
Minal Wankhede Barsagade, Suchitra A. Meshram · 2014
Elliptic curves occur first time in the work of Diophantus in second century A.D. Since then the theory of elliptic curves were studied in number theory. Till 1920, elliptic curves were studied mainly by Cauchy, Lucas, Sylvester, Poincare. In 1984, Lenstra used elliptic curves for factoring integers and that was the first use of elliptic curves in cryptography. Fermat's Last theorem and General Reciprocity Law was proved using elliptic curves and that is how elliptic curves became the centre of attraction for many mathematicians. Properties and functions of elliptic curves have been studied in mathematics for 150 years. Use of elliptic curves in cryptography was not known till 1985. Elliptic curve cryptography is introduced by Victor Miller and Neal Koblitz in 1985 and now it is extensively used in security protocol.