ECDHE stands for Elliptic Curve Diffie Hellman Ephemeral, and it is a key exchange mechanism based on elliptic curves. This algorithm is used by websites to provide perfect forward secrecy in SSL.

This is the third in a series of papers in which we study the n-Selmer group of an elliptic curve, with the aim of representing its elements as curves of degree n in ℙn – 1. The methods we describe ...

The rank of an elliptic curve tells mathematicians how many “independent” points — points from different families — they need in order to define its set of rational solutions. The higher the rank, the ...

Elliptic curves are polynomial equations that are at the optimal level of hardness for mathematical inquiry. There is a tidy (and widely taught) formula for finding solutions to quadratic polynomials ...

John Coates, Catherine Goldstein, Some Remarks on the Main Conjecture for Elliptic Curves with Complex Multiplication, American Journal of Mathematics, Vol. 105, No. 2 (Apr., 1983), pp. 337-366 ...

Operations on elliptic curves The security of ECC depends on the difficulty of the Elliptic Curve Discrete Logarithm Problem. This problem is defined as follows: let and be two points on an elliptic ...

Elliptic curve cryptography (ECC) uses points on an elliptic curve to derive a 163-bit public key that is equivalent in strength to a 1024-bit RSA key.

But it is his research on curves — or more precisely, elliptic curves — that has the mathematical world taking notice. Beautiful and practical, elliptic curves are at the forefront of mathematics ...

Posted in Microcontrollers Tagged cryptography, ecc, elliptic curve cryptography, IoT, rsa, security ← Sprucing Up A Bell & Howell Model 34 Oscilloscope Raspberry Pi Catches The Early Bird → ...