Results 21 to 30 of about 68 (58)

Cryptanalysis of “MAKE”

Journal of Mathematical Cryptology, 2022
Rahman and Shpilrain proposed a Diffie–Hellman style key exchange based on a semidirect product of n×nn\times n-matrices over a finite field. We show that, using public information, an adversary can recover the agreed upon secret key by solving a system ...
Brown Daniel R. L., Koblitz Neal, LeGrow Jason T.   +2 more
doaj   +1 more source

BTLE: Atomic swaps with time-lock puzzles

Journal of Mathematical Cryptology
We present BTLE (Broadcast Time-Lock Exchange Protocol), a two-step protocol that aims to decentralize exchange of funds between two blockchains in scenarios similar to online exchanges. BTLE leverages time-lock puzzles to achieve that.
Barbara Fadi, Guglielmino Enrico, Murru Nadir, Schifanella Claudio   +3 more
doaj   +1 more source

On the supersingular GPST attack

Journal of Mathematical Cryptology, 2021
The main attack against static-key supersingular isogeny Diffie–Hellman (SIDH) is the Galbraith–Petit–Shani–Ti (GPST) attack, which also prevents the application of SIDH to other constructions such as non-interactive key-exchange.
Basso Andrea, Pazuki Fabien
doaj   +1 more source

Dynamic-FROST: Schnorr threshold signatures with a flexible committee

Journal of Mathematical Cryptology
Threshold signatures enable any subgroup of predefined cardinality tt out of a committee of nn participants to generate a valid, aggregated signature.
Cimatti Annalisa, De Sclavis Francesco, Galano Giuseppe, Giammusso Sara, Iezzi Michela, Muci Antonio, Nardelli Matteo, Pedicini Marco   +7 more
doaj   +1 more source

On the quantum security of high-dimensional RSA protocol

Journal of Mathematical Cryptology
The idea of extending the classical RSA protocol using algebraic number fields was introduced by Takagi and Naito (Construction of RSA cryptosystem over the algebraic field using ideal theory and investigation of its security.
Rahmani Nour-eddine, Serraj Taoufik, Ismaili Moulay Chrif, Azizi Abdelmalek   +3 more
doaj   +1 more source

Time-memory trade-offs for index calculus in genus 3

Journal of Mathematical Cryptology, 2015
In this paper, we present a variant of Diem's O˜(q)${\widetilde{O}(q)}$ index calculus algorithm to attack the discrete logarithm problem (DLP) in Jacobians of genus 3 non-hyperelliptic curves over a finite field 𝔽q.
Laine Kim, Lauter Kristin
doaj   +1 more source

On Codes Over R and its Bounds of Some kind of Block Repetition Codes in R

InPrime, 2022
This correspondence determines the lower and upper bounds of the covering radius in some kind of block repetition codes over the finite ring R=Z_2 Z_*, where Z_*=Z_2+vZ_2+v^2 Z_2, v^3=v.
P Chella Pandian
doaj   +1 more source

Elliptic curve and k-Fibonacci-like sequence

Scientific African, 2023
In this paper, we will introduce a modified k-Fibonacci-like sequence defined on an elliptic curve and prove Binet’s formula for this sequence. Moreover, we give a new encryption scheme using this sequence.
Zakariae Cheddour, Abdelhakim Chillali, Ali Mouhib   +2 more
doaj   +1 more source

On the quantum attacks against schemes relying on the hardness of finding a short generator of an ideal in ℚ(𝜁2𝑠)

Journal of Mathematical Cryptology, 2019
A family of ring-based cryptosystems, including the multilinear maps of Garg, Gentry and Halevi [Candidate multilinear maps from ideal lattices, Advances in Cryptology—EUROCRYPT 2013, Lecture Notes in Comput. Sci.
Biasse Jean-François, Song Fang
doaj   +1 more source

Predicate signatures from pair encodings via dual system proof technique

Journal of Mathematical Cryptology, 2019
Recently, Attrapadung (Eurocrypt 2014) proposed a generic framework for fully (adaptively) secure predicate encryption (PE) based on a new primitive, called pair encodings.
Nandi Mridul, Pandit Tapas
doaj   +1 more source