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blog.lambdaclass.com
| | www.johndcook.com
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| | The Bitcoin key mechanism is based on elliptic curve cryptography over a finite field. This post gives a brief overview.
| | smartnets.etrovub.be
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| | CurveForge: generic, constant-time elliptic curves by construction in Rust. Or: how we implemented Montgomery curves in a few hours instead of a few weeks.
| | andrea.corbellini.name
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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.
| | windowsontheory.org
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| Guest post by Boaz Barak and Zvika Brakerski (part 2) In the previous post, we demonstrated the versatility of fully homomorphic encryption and its applicability for multiple applications. In this post we will demonstrate (not too painfully, we hope) how fully homomorphic encryption is constructed. Our goal is to present the simplest solution that (we...