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 www.johndcook.com
Bitcoin keys and elliptic curve secp256k1
| | www.jeremykun.com
Elliptic Curve Diffie-Hellman || Math ? Programming
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| | So far in this series we've seen elliptic curves from many perspectives, including the elementary, algebraic, and programmatic ones. We implemented finite field arithmetic and connected it to our elliptic curve code. So we're in a perfect position to feast on the main course: how do we use elliptic curves to actually do cryptography? History As the reader has heard countless times in this series, an elliptic curve is a geometric object whose points have a surprising and well-defined notion of addition.
| | andrea.corbellini.name
Elliptic Curve Cryptography: finite fields and discrete logarithms - Andrea Corbellini
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| | [AI summary] The text provides an in-depth explanation of elliptic curve cryptography (ECC), covering fundamental concepts such as elliptic curves over finite fields, point addition, cyclic subgroups, subgroup orders, and the discrete logarithm problem. It also discusses practical aspects like finding base points, cofactors, and the importance of choosing subgroups with high order for cryptographic security. The text emphasizes that ECC relies on the difficulty of solving the discrete logarithm problem on elliptic curves, which is considered computationally hard and forms the basis for secure cryptographic protocols like ECDH and ECDSA.
| | blog.lambdaclass.com
What every developer needs to know about elliptic curves
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| | Elliptic curves (EC) have become one of the most useful tools for modern cryptography. They were proposed in the 1980s and became widespread used after 2004. Its main advantage is that it offers smaller key sizes to attain the same level of security of other methods, resulting in smaller storage
| | neilmadden.blog
Digital signatures and how to avoid them - Neil Madden
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| Wikipedia's definition of a digital signature is: A digital signature is a mathematical scheme for verifying the authenticity of digital messages or documents. A valid digital signature on a message gives a recipient confidence that the message came from a sender known to the recipient. -Wikipedia They also have a handy diagram of the process...