Results 21 to 30 of about 196 (92)

The distribution of quadratic residues and non-residues in the Goldwasser–Micali type of cryptosystem

open access: yesJournal of Mathematical Cryptology, 2014
We provide unconditional results and conditional ones under the assumption of GRH (Generalized Riemann Hypothesis) on the distribution of quadratic residues and quadratic non-residues in ℤ/Nℤ$\mathbb {Z}/N\mathbb {Z}$, where N=pq$N= pq$ is an RSA modulus
Justus Benjamin
doaj   +1 more source

Exact information ratios for secret sharing on small graphs with girth at least 5

open access: yesJournal of Mathematical Cryptology, 2019
In a secret-sharing scheme, a piece of information – the secret – is distributed among a finite set of participants in such a way that only some predefined coalitions can recover it.
Harsányi Károly, Ligeti Péter
doaj   +1 more source

Cryptanalysis of an RSA variant with moduli N=prql

open access: yesJournal of Mathematical Cryptology, 2017
In this paper we study an RSA variant with moduli of the form N=pr⁢ql{N=p^{r}q^{l}} (r>l≥2{r>l\geq 2}). This variant was mentioned by Boneh, Durfee and Howgrave-Graham [2]. Later Lim, Kim, Yie and Lee [11] showed that this variant is much faster than the
Lu Yao, Peng Liqiang, Sarkar Santanu
doaj   +1 more source

An efficient post-quantum KEM from CSIDH

open access: yesJournal of Mathematical Cryptology, 2022
The SIDH and CSIDH are now the two most well-known post-quantum key exchange protocols from the supersingular isogeny-based cryptography, which have attracted much attention in recent years and served as the building blocks of other supersingular isogeny-
Qi Mingping
doaj   +1 more source

SKENO: Secret key encryption with non-interactive opening

open access: yesJournal of Mathematical Cryptology, 2015
In this paper, we introduce the notion of secret key encryption with non-interactive opening (SKENO). With SKENO, one can make a non-interactive proof π to show that the decryption result of a ciphertext C under a shared secret key K is indeed plaintext ...
Chen Jiageng, Emura Keita, Miyaji Atsuko
doaj   +1 more source

Provable security against generic attacks on stream ciphers

open access: yesJournal of Mathematical Cryptology, 2023
Recent lightweight hardware-based stream cipher designs keep an external non-volatile internal state that is not part of the cipher’s hardware module. The purpose of these so-called small-state ciphers is to keep the size of the hardware and the power ...
Moch Alexander
doaj   +1 more source

On the concrete hardness of Learning with Errors

open access: yesJournal of Mathematical Cryptology, 2015
The learning with errors (LWE) problem has become a central building block of modern cryptographic constructions. This work collects and presents hardness results for concrete instances of LWE.
Albrecht Martin R.   +2 more
doaj   +1 more source

Another look at normal approximations in cryptanalysis

open access: yesJournal of Mathematical Cryptology, 2016
Statistical analysis of attacks on symmetric ciphers often requires assuming the normal behaviour of a test statistic. Typically such an assumption is made in an asymptotic sense.
Samajder Subhabrata, Sarkar Palash
doaj   +1 more source

Discretisation and Product Distributions in Ring-LWE

open access: yesJournal of Mathematical Cryptology, 2020
A statistical framework applicable to Ring-LWE was outlined by Murphy and Player (IACR eprint 2019/452). Its applicability was demonstrated with an analysis of the decryption failure probability for degree-1 and degree-2 ciphertexts in the homomorphic ...
Murphy Sean, Player Rachel
doaj   +1 more source

Generalization of Roos bias in RC4 and some results on key-keystream relations

open access: yesJournal of Mathematical Cryptology, 2018
RC4 has attracted many cryptologists due to its simple structure. In [9], Paterson, Poettering and Schuldt reported the results of a large scale computation of RC4 biases.
Dey Sabyasachi, Sarkar Santanu
doaj   +1 more source

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