Results 41 to 50 of about 10,903,755 (367)
Analysis of the Fault Attack ECDLP over Prime Field
Journal of Applied Mathematics, 2011 In 2000, Biehl et al. proposed a fault-based attack on elliptic curve cryptography. In this paper, we refined the fault attack method. An elliptic curve E is defined over prime field 𝔽p with base point P∈E(𝔽p).
Mingqiang Wang, Tao Zhan
doaj +1 more source
, 2008 The confinement mechanism proposed earlier by the author is applied to estimate the possible parameters of the confining SU(3)-gluonic field in an $\eta^\prime$-meson.
+16 more
core +1 more source
Explicit decomposition of a rational prime in a cubic field
International Journal of Mathematics and Mathematical Sciences, 2006 We give the explicit decomposition of the principal ideal 〈p〉 (p prime) in a cubic field.
Saban Alaca +2 more
doaj +1 more source
Effective log-free zero density estimates for automorphic $L$-functions and the Sato-Tate conjecture
, 2016 Let $K/\mathbb{Q}$ be a number field. Let $\pi$ and $\pi^\prime$ be cuspidal automorphic representations of $\mathrm{GL}_d(\mathbb{A}_K)$ and $\mathrm{GL}_{d^\prime}(\mathbb{A}_K)$, and suppose that either both $d$ and $d'$ are at most 2 or at least one ...
Oliver, Robert J. Lemke, Thorner, Jesse
core +1 more source
Tanner (3, 23)-Regular QC-LDPC Codes: Cycle Structure and Girth Distribution
IEEE AccessThis paper studies a class of quasi-cyclic LDPC (QC-LDPC) codes, i.e., Tanner (3, 23)-regular QC-LDPC codes of code length $23p$ with $p$ being a prime and $p \equiv 1 (\mathrm {mod} 69)$ .
Qi Wang +5 more
doaj +1 more source
A high speed processor for elliptic curve cryptography over NIST prime field
IET Circuits, Devices and Systems, 2022 Elliptic curve cryptography (ECC), as one of the public key cryptography systems, has been widely applied to many security applications. It is challenging to implement a scalar multiplication (SM) operation which has the highest computational complexity ...
Xianghong Hu +4 more
doaj +1 more source
Uniformly accelerated observer in a thermal bath
, 2013 We investigate the quantum field aspects in flat spacetime for an uniformly accelerated observer moving in a thermal bath. In particular, we obtain an exact closed expression of the reduced density matrix for an uniformly accelerated observer with ...
Kolekar, Sanved
core +1 more source
Mersenne Primes in Real Quadratic Fields
, 2012 The concept of Mersenne primes is studied in real quadratic fields of class number 1. Computational results are given. The field $Q(\sqrt{2})$ is studied in detail with a focus on representing Mersenne primes in the form $x^{2}+7y^{2}$. It is also proved that $x$ is divisible by 8 and $y\equiv \pm3\pmod{8}$ generalizing the result of F Lemmermeyer ...
Palimar, Sushma, Shankar, B. R.
openaire +3 more sources
Big Prime Field FFT on Multi-core Processors
International Symposium on Symbolic and Algebraic Computation, 2019 We report on a multi-threaded implementation of Fast Fourier Transforms over generalized Fermat prime fields. This work extends a previous study realized on graphics processing units to multi-core processors.
S. Covanov +3 more
semanticscholar +1 more source
By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
FEBS Letters, EarlyView.The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo +2 more
wiley +1 more source