Results 31 to 40 of about 398,588 (120)

Variable‐Range Hopping Conduction in Amorphous, Non‐Stoichiometric Gallium Oxide

open access: yesAdvanced Electronic Materials, Volume 11, Issue 4, April 2025.
The combination of experimental evidence, ab‐initio DOS calculations and quantitative modeling by kinetic Monte Carlo simulations reveals: Variable‐range hopping (VRH) is the dominant electron conduction mechanism in a‐GaOx (x = 0.8 to 1.0), even at room temperature, which leads to a new, fundamental understanding of a‐GaOx‐based electronic devices ...
Philipp Hein   +7 more
wiley   +1 more source

Probable prime tests for generalized mersenne numbers

open access: yes, 2008
The classical Lucas-Lehmer test gives necessary and sufficient conditions for the primality of 2 p -1, p an odd prime. Such primes are called Mersenne primes.
Melham, RS
core  

A characterization of some finite simple groups by their character codegrees

open access: yesMathematische Nachrichten, Volume 298, Issue 4, Page 1356-1369, April 2025.
Abstract Let G$G$ be a finite group and let χ$\chi$ be a complex irreducible character of G$G$. The codegree of χ$\chi$ is defined by cod(χ)=|G:ker(χ)|/χ(1)$\textrm {cod}(\chi)=|G:\textrm {ker}(\chi)|/\chi (1)$, where ker(χ)$\textrm {ker}(\chi)$ is the kernel of χ$\chi$.
Hung P. Tong‐Viet
wiley   +1 more source

Perfect and Mersenne Numbers [PDF]

open access: yes, 2019
U ovom radu proučavamo Mersenneove i savršene brojeve. Kažemo da je prirodan broj N savršen ako je σ(N) = 2N, gdje je σ(N) suma pravih djelitelja broja N.
Patković, Kristina
core   +1 more source

Divisibility by 3 of even multiperfect numbers of abundancy 3 and 4 [PDF]

open access: yes, 2010
We say a number is flat if it can be written as a non-trivial power of 2 times an odd squarefree number. The power is the “exponent” and the number of odd primes the “length”. Let N be flat and 4-perfect with exponent a and length m.
Broughan, Kevin A., Zhou, Qizhi
core  

All bi-unitary perfect polynomials over F 2 only divisible by x, x + 1 and by Mersenne primes

open access: yes, 2022
We give all non splitting bi-unitary perfect polynomials over the prime field of two elements, which have only Mersenne polynomials as odd irreducible ...
Gallardo, Luis H.   +1 more
core   +1 more source

The Exponential Generating Functions of Mersenne and Mersenne-Lucas Identities

open access: yes, 2021
In this paper, we presented some relations connecting Mersenne and Mersenne-Lucas sequences by applying exponential generating ...
B.MALINI DEVI, S.DEVIBALA
core   +1 more source

LETTER Special Section on Cryptography and Information Security Simple Power Analysis on Fast Modular Reduction with

open access: yes, 2006
SUMMARY We discuss side channel leakage from modular reduction for NIST recommended domain parameters. FIPS 186-2 has 5 recommended prime fields. These primes have a special form which is referred to as generalized Mersenne prime.
Generalized Mersenne   +2 more
core  

On Generalized Mersenne and Fermat Primes [PDF]

open access: yes, 2009
The classical Merseniie and Fermat primes are, respectivel3^ primes of the form 2^\u27 - 1 and 2^‘ + 1. The Mersenne primes have been studied since antiquity. It is known that if 2^ - 1 is prime then k is prime.
Putnam, Bette Catherine
core   +1 more source

Features of digital signal processing algorithms using Galois fields GF(2n+1). [PDF]

open access: yesPLoS One, 2023
Suleimenov IE   +2 more
europepmc   +1 more source

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