Tag: finite-field

Found 183 results for 'finite-field'.

1) elliptic-curves - Should we use IANA groups 14 (MODP), 25, and 26 (ECP)?
2) discrete-logarithm - Why do we use 1024 / 160 bit primes in DSA?
3) elliptic-curves - Default algorithm for scalar multiplication of elliptic curve points by the MIRACL Library
4) elliptic-curves - How to determine the order of an elliptic curve group from its parameters?
5) elliptic-curves - Problem with the signature of message using ECDSA over GF(2^m)
6) elliptic-curves - How Elliptic-Curve affects the Server Key Exchange parameters
7) elliptic-curves - Elliptic curves on finite fields
8) cryptanalysis - Do recent announcements about solving the DLP in $GF(2^{6120})$ apply to schemes proposed for cryptographic use?
9) rsa - What do recent announcements about solving the DLP in $GF(2^{6120})$ mean for RSA
10) prime-numbers - Necessity for finite field arithmetic and the prime number p in Shamir's Secret Sharing Scheme
11) hash - How to determine proportion of quadratic residues in elliptic curve group?
12) elliptic-curves - Questions about the Curve25519-donna implementation
13) diffie-hellman - Diffie-Hellman key exchange protocol with finite field GF(2^5)
14) elliptic-curves - Why does curve25519 use a cofactor of 8?
15) rsa - Inverse of an element in a RSA group
16) elliptic-curves - Understanding elliptic curve point addition over a finite field
17) elliptic-curves - Key size and finite fields in ECC (References)
18) elliptic-curves - Solving Quadratic equations in Galois Field (2^163)
19) elliptic-curves - Order of subgroups formed by Elliptic Curves with a Cofactor
20) elliptic-curves - addition on finite elliptic curves
21) elliptic-curves - What is so special about elliptic curves?
22) elliptic-curves - How to find the order of a generator on an elliptic curve?
23) secret-sharing - How can we evaluate a polynomials in a group instead of a field? (verifiable secret sharing on elliptic curves)
24) rsa - Schnorr signature security level as compared to AES/RSA
25) finite-field - The definition and origin of Schnorr groups?
26) encryption - RSA assumption and relationship given by generating elemts of a Cayley graph
27) elliptic-curves - Must a line hitting two points on the elliptic curve over a finite field hit another point by continuation?
28) elliptic-curves - questions about modular reduction algorithm over $F_{2^m}$
29) elliptic-curves - Elliptic Curve - Divide by 2
30) elliptic-curves - Generating bilinear pairing parameters - running time of finding member of p-torsion group
31) elliptic-curves - Finding subgroup in elliptic curve over finite field $ \mathbb{F}_{11}$
32) elliptic-curves - Is there a concept of embedding degree for non-pairing based elliptic curves?
33) elliptic-curves - Implementation of ECC over binary field
34) elliptic-curves - Choice of finite fields for use in elliptic curves
35) discrete-logarithm - Pollard's Rho - Constructing the Random Function
36) public-key - How to find integer point of a ec curve in a given range?
37) elliptic-curves - Verify Points on curve secp256k1
38) elliptic-curves - What is the meaning of $F_{p^k}$ and the elliptic curve over it, $E(F_{p^k})$?
39) elliptic-curves - Do the elliptic curves over prime fields must always contain prime number of elements (prime order)?
40) elliptic-curves - Why are elliptic curves constructed using prime fields and not composite fields?
41) elliptic-curves - How to apply Pollard's Rho Method on elliptic curves to solve discrete logarithm problem in finite field?
42) elliptic-curves - Why are elliptic curves over a field of characteristic 2 or 3 insecure?
43) elliptic-curves - Elliptic curve over prime field with high order roots of unity
44) number-theory - How robust is discrete logarithm in $GF(2^n)$?
45) prime-numbers - Solving hard problems in $\mathbb Z_{p}^{*}$ when $\mathbb p$ is close to $\mathbb 2^{n}$
46) discrete-logarithm - Why use prime number $q$ such $q$| $(p-1)$ in discrete logarithm based schemes?
47) secret-sharing - In a shamir secret sharing scheme, why can't the secret be a middle coefficient and only the first or the last?
48) secret-sharing - Shamir's Secret Sharing on non-prime GF
49) secret-sharing - Understanding Feldman's VSS with a simple example
50) modular-arithmetic - Given a cycle $x \mapsto x^a$ with his starting point $x_1$. Can another starting point $x_2$ be transformed to generate the same cycle?