Results 31 to 40 of about 249,312 (242)

Nonsquare Spectral Factorization for Nonlinear Control Systems [PDF]

, 2005
This paper considers nonsquare spectral factorization of nonlinear input affine state space systems in continuous time. More specifically, we obtain a parametrization of nonsquare spectral factors in terms of invariant Lagrangian submanifolds and ...
Schaft, Arjan J. van der, Petersen, Mark A., Schaft, Arjan J. van der,, Schaft, Arjan J. van der; id_orcid, Petersen, Mark A.,   +4 more
core   +2 more sources

Conjugacy Systems Based on Nonabelian Factorization Problems and Their Applications in Cryptography

Journal of Applied Mathematics, 2014
To resist known quantum algorithm attacks, several nonabelian algebraic structures mounted upon the stage of modern cryptography. Recently, Baba et al. proposed an important analogy from the integer factorization problem to the factorization problem over
Lize Gu, Shihui Zheng
doaj   +1 more source

On the Tower Factorization of Integers

The American Mathematical Monthly
Under the fundamental theorem of arithmetic, any integer $n>1$ can be uniquely written as a product of prime powers $p^a$; factoring each exponent $a$ as a product of prime powers $q^b$, and so on, one will obtain what is called the tower factorization of $n$.
Jean-Marie De Koninck, William Verreault
openaire   +3 more sources

Specialized integer factorization [PDF]

, 1998
Vanstone and Zuccherato [3] propose a cryptographic system based on an elliptic curve modulo a composite number. We show that the composite numbers so constructed are easily factored, rendering the system insecure.
openaire   +1 more source

Integer factorization as subset-sum problem [PDF]

, 2022
This paper elaborates on a sieving technique that has first been applied in 2018 for improving bounds on deterministic integer factorization. We will generalize the sieve in order to obtain a polynomial-time reduction from integer factorization to a ...
Hittmeir, Markus
core   +1 more source

A New Idea for RSA Backdoors

Cryptography, 2023
This article proposes a new method to inject backdoors in RSA (the public-key cryptosystem invented by Rivest, Shamir, and Adleman) and other cryptographic primitives based on the integer factorization problem for balanced semi-primes.
Marco Cesati
doaj   +1 more source

Comparison between the RSA cryptosystem and elliptic curve cryptography [PDF]

, 2010
In the globalization era, cryptography becomes more popular and powerful; in fact it is very important in many areas (i.e. mathematics, computer science, networks, etc).
Abdullah, Kamilah
core  

Purification and preparation of Marchantia polymorpha Auxin Response Factor 2 for phase separation studies

FEBS Open Bio, EarlyView.
We describe detailed protocols for the purification and preparation of Marchantia polymorpha Auxin Response Factor 2 (MpARF2). This protein is fused to an MBP solubility tag and an mNG fluorescent tag and is purified from Escherichia coli. The presented procedures make it possible to study MpARF2 assemblies, which could arise from phase separation ...
Bas Janssen, Robin Romein, Willy A. M. van den Berg, Simon Lindhoud, Jan Willem Borst, Carlo P. M. van Mierlo   +5 more
wiley   +1 more source

On certain arithmetical functions connected with the prime factorization of an integer [PDF]

Notes on Number Theory and Discrete Mathematics
If ...
József Sándor
doaj   +1 more source

Mersenne version of Brocard-Ramanujan equation

Journal of New Results in Science, 2023
In this study, we deal with a special form of the Brocard-Ramanujan equation, which is one of the interesting and still open problems of Diophantine analysis.
Ayşe Nalli, Seyran İbrahimov
doaj   +1 more source