Results 41 to 50 of about 734 (92)

Upper bounds for partial spreads [PDF]

, 2016
A partial $t$-spread in $\mathbb{F}_q^n$ is a collection of $t$-dimensional subspaces with trivial intersection such that each non-zero vector is covered at most once.
Kurz, Sascha
core   +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

The Eleventh Power Residue Symbol

Journal of Mathematical Cryptology, 2020
This paper presents an efficient algorithm for computing 11th-power residue symbols in the cyclo-tomic field ℚ(ζ11),$ \mathbb{Q}\left( {{\zeta }_{11}} \right), $where 11 is a primitive 11th root of unity.
Joye Marc, Lapiha Oleksandra, Nguyen Ky, Naccache David   +3 more
doaj   +1 more source

Security analysis of Modified Rivest Scheme

Journal of Mathematical Cryptology, 2014
The Modified Rivest Scheme (MRS) is an additive homomorphic scheme recently used in many applications which demands third party processing of encrypted data. The present study carries out a comprehensive security analysis of MRS.
Haridas Deepthi, Venkataraman Sarma, Varadan Geeta   +2 more
doaj   +1 more source

Delegating a Product of Group Exponentiations with Application to Signature Schemes (Submission to Special NutMiC 2019 Issue of JMC)

Journal of Mathematical Cryptology, 2020
Many public-key cryptosystems and, more generally, cryptographic protocols, use group exponentiations as important primitive operations. To expand the applicability of these solutions to computationally weaker devices, it has been advocated that a ...
Crescenzo Giovanni Di, Khodjaeva Matluba, Kahrobaei Delaram, Shpilrain Vladimir   +3 more
doaj   +1 more source

Group structure of elliptic curves over ℤ/Nℤ

Journal of Mathematical Cryptology
We characterize the possible groups E(Z∕NZ)E\left({\mathbb{Z}}/N{\mathbb{Z}}) arising from elliptic curves over Z∕NZ{\mathbb{Z}}/N{\mathbb{Z}} in terms of the groups E(Fp)E\left({{\mathbb{F}}}_{p}), with pp varying among the prime divisors of NN.
Sala Massimiliano, Taufer Daniele
doaj   +1 more source

Distribution of powers modulo p and security of RSA

Journal of Mathematical Cryptology
Let p be a prime and a be any fixed positive integer such that gcd(a, φ(p)) = 1. For 0 < x 
Meng Xianmeng, Dang Yongjie
doaj   +1 more source

New number-theoretic cryptographic primitives

Journal of Mathematical Cryptology, 2020
This paper introduces new prq-based one-way functions and companion signature schemes. The new signature schemes are interesting because they do not belong to the two common design blueprints, which are the inversion of a trapdoor permutation and the ...
Brier Éric, Ferradi Houda, Joye Marc, Naccache David   +3 more
doaj   +1 more source