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www.jeremykun.com | ||
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qchu.wordpress.com
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| | | | | In this post we'll describe the representation theory of theadditive group scheme$latex \mathbb{G}_a$ over a field $latex k$. The answer turns out to depend dramatically on whether or not $latex k$ has characteristic zero. Preliminaries over an arbitrary ring (All rings and algebras are commutative unless otherwise stated.) The additive group scheme $latex \mathbb{G}_a$ over... | |
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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. | |
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theorydish.blog
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| | | | | In this post, we'll discuss how Galois rings (a recent algebraic structure) improve the communication complexity of dishonest multiparty computation (MPC) protocols.Before we dive into MPC, I'll take a brief detour to discuss how computation is usually modeled in cryptography. When cryptographers think about computation, they often think about circuits comprised of addition and multiplication... | |
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wordrefiner.wordpress.com
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| | | https://bluebirdofbitterness.com/2024/02/20/advertisements-from-long-long-ago-winter-wonderland-edition/?page_id=104602 | ||
