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Results tagged with elliptic-curve-generation
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user 49826
ECC is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC allows smaller keys compared to non-EC cryptography (based on plain Galois fields) to provide equivalent security. Elliptic curves are applicable for key agreement, digital signatures, pseudorandom generators, and other tasks. they can be used for encryption by combining the key agreement with an asymmetric encryption scheme.
11
votes
Accepted
How can I generate a Koblitz curve?
The paper introducing the application of endomorphisms in arbitrary curves to cryptography was Robert P. Gallant, Robert J. Lambert, and Scott A. Vanstone, ‘Faster Point Multiplication on Elliptic Cur …
- 49.5k
3
votes
What are the properties of secure Elliptic Curves?
For typical protocols like Diffie–Hellman key agreement and Schnorr-type signature,* SafeCurves surveys the modern security criteria for elliptic curve choice. In these protocols, the adversary is as …
- 49.5k
12
votes
Accepted
How do malware rely safely on ECDH algorithm to maintain secrecy of keys?
Quick summary.
Ransomware works by a public-key key encapsulation mechanism: pick a secret key $h$ and an encapsulation $\sigma$ of it for the malware operator's public key, so that only the malware o …
- 49.5k
23
votes
Accepted
What is the relationship between p (prime), n (order) and h (cofactor) of an elliptic curve?
The prime $p$ is chosen to make arithmetic in a choice of field $k$ efficient. Typically $k = \mathbb F_p$ or $k = \mathbb F_{p^2}$. Popular choices of $p$ are near powers of two, e.g. the Mersenne …
- 49.5k
6
votes
How can I find the generator of a composite group and $Z_p*$?
$\newcommand{\Z}{\mathbb{Z}}$If I have understood your question correctly, your goal is to find a primitive root modulo $p$, also called a generator of $(\Z/p\Z)^\times$, knowing that $p$ is prime.
Do …
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