Nov 23, 2020 · In this paper, we first study the index of the univariate Diffie–Hellman mapping for a generic cyclic group of order n in Sect. 2. We show that ...

Nov 9, 2020 · We determine the index of the univariate Diffie-Hellman mapping d(\gamma^a)=\gamma^{a^2}, a=0,1,\ldots,n-1, and show that any mapping of small ...

Nov 1, 2022 · We determine the index of the univariate Diffie–Hellman mapping, and show that any mapping of small index coincides with d only on a small subset of G.

Nov 9, 2020 · The least index of a self-mapping f of G is the index of the largest subgroup U of G such that f(x)x−r is constant on each coset of U for some ...

Nov 13, 2020 · We determine the index of the univariate Diffie-Hellman mapping $d(\gamma^a)=\gamma^{a^2}$, $a=0,1,\ldots,n-1$, and show that any mapping of ...

Extracted from publication. Cryptography and Coding Theory Conference 2021. On the index of the Diffie-Hellman mapping. DOI: 10.53136/979125994981327

Nov 9, 2020 · We determine the index of the univariate Diffie-Hellman mapping d(γ a) = γ a 2 , a = 0, 1,. .. , n − 1, and show that any mapping of small index ...

Jul 22, 2021 · Constructs a parameter set for Diffie-Hellman, using a prime modulus p, a base generator g, and the size in bits, l, of the random exponent (private value).

Aug 26, 2021 · I would say, it's safe. X25519 curves are fast, but not as secure as P-256, I think you are in a good track.

The Diffie–Hellman problem (DHP) is a mathematical problem first proposed by Whitfield Diffie and Martin Hellman [1] in the context of cryptography.