Results 11 to 20 of about 734 (92)

Quasi-subfield Polynomials and the Elliptic Curve Discrete Logarithm Problem

open access: yesJournal of Mathematical Cryptology, 2020
We initiate the study of a new class of polynomials which we call quasi-subfield polynomials. First, we show that this class of polynomials could lead to more efficient attacks for the elliptic curve discrete logarithm problem via the index calculus ...
Huang Ming-Deh   +4 more
doaj   +1 more source

Recovering Secrets From Prefix-Dependent Leakage

open access: yesJournal of Mathematical Cryptology, 2020
We discuss how to recover a secret bitstring given partial information obtained during a computation over that string, assuming the computation is a deterministic algorithm processing the secret bits sequentially.
Ferradi Houda   +4 more
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

Fast hash functions and convolution product

open access: yesJournal of Mathematical Cryptology, 2014
We propose a new simple and efficient family of hash functions based on matrix-vector multiplications with a competitive software implementation. The hash design combines a hard mathematical problem based on solving a system of linear equations with ...
Omar Sami, Sabri Houssem
doaj   +1 more source

Periodic Structure of the Exponential Pseudorandom Number Generator [PDF]

open access: yes, 2013
We investigate the periodic structure of the exponential pseudorandom number generator obtained from the map $x\mapsto g^x\pmod p$ that acts on the set $\{1, \ldots, p-1\}$
Kaszian, Jonas   +2 more
core   +1 more source

Privacy-preserving verifiable delegation of polynomial and matrix functions

open access: yesJournal of Mathematical Cryptology, 2020
Outsourcing computation has gained significant popularity in recent years due to the development of cloud computing and mobile services. In a basic outsourcing model, a client delegates computation of a function f on an input x to a server. There are two
Zhang Liang Feng, Safavi-Naini Reihaneh
doaj   +1 more source

New approach to practical leakage-resilient public-key cryptography

open access: yesJournal of Mathematical Cryptology, 2020
We present a new approach to construct several leakage-resilient cryptographic primitives, including leakage-resilient public-key encryption (PKE) schemes, authenticated key exchange (AKE) protocols and low-latency key exchange (LLKE) protocols.
Chakraborty Suvradip   +2 more
doaj   +1 more source

Maximum-order Complexity and Correlation Measures

open access: yes, 2017
We estimate the maximum-order complexity of a binary sequence in terms of its correlation measures. Roughly speaking, we show that any sequence with small correlation measure up to a sufficiently large order $k$ cannot have very small maximum-order ...
Işık, Leyla, Winterhof, Arne
core   +1 more source

Designing Efficient Dyadic Operations for Cryptographic Applications

open access: yesJournal of Mathematical Cryptology, 2020
Cryptographic primitives from coding theory are some of the most promising candidates for NIST’s Post-Quantum Cryptography Standardization process. In this paper, we introduce a variety of techniques to improve operations on dyadic matrices, a particular
Banegas Gustavo   +3 more
doaj   +1 more source

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