A (relatively easy to understand) primer on elliptic curve cryptography

“The US government uses it to protect internal communications, the Tor project uses it to help assure anonymity, it is the mechanism used to prove ownership of bitcoins, it provides signatures in Apple’s iMessage service, it is used to encrypt DNS information with DNSCurve, and it is the preferred method for authentication for secure Web browsing over SSL/TLS. A growing number of sites use ECC to provide perfect forward secrecy, which is essential for online privacy. First generation cryptographic algorithms like RSA and Diffie-Hellman are still the norm in most arenas, but ECC is quickly becoming the go-to solution for privacy and security online.”

http://arstechnica.com/security/2013/10/a-relatively-easy-to-understand-primer-on-elliptic-curve-cryptography/

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