A money transfer transaction must include sender and receiver account information and transaction amount. On the other hand, a bitcoin … More

# Tag: elliptic curve

# Solving Elliptic Curve Discrete Logarithm Problem

Elliptic curve cryptography is powerful. Calculating public key from known private key and base point can be handled easily. On … More

# Counting Points on Elliptic Curves over Finite Field: Order of Elliptic Curve Group

ECDSA enables to produce signatures faster. Besides, its both signatures and keys are much smaller than adopted alternative options offering … More

# Elegant Signatures with Elliptic Curve Cryptography

Elegance is the only beauty that never fades. This is an loving Audrey Hepburn quote. I struggle to adapt this … More

# Key Exchange: From Carrying Handcuffed Briefcases To Modern Cryptosystems

You should be familiar to handcuffed briefcases in spy movies. Most probably, shared secret key is in the briefcase and the … More

# Double and Add Method

Computing a new point on an elliptic curve Q = kP for given k and P could be performed by combination … More

# The Math Behind Elliptic Curves over Binary Field

In the previous post, we’ve mention the math behind addition law for elliptic curves over Galois Field GF(p) – prime … More

# The Math Behind Elliptic Curve Cryptography

The most of cryptography resources mention elliptic curve cryptography, but they often ignore the math behind elliptic curve cryptography and … More