Results 81 to 90 of about 384 (160)

Strongly Base-Two Groups. [PDF]

open access: yesVietnam J Math, 2023
Burness TC, Guralnick RM.
europepmc   +1 more source

Automatic Generation of High-Performance Modular Multipliers for Arbitrary Mersenne Primes on FPGAs [PDF]

open access: yes, 2017
Modular multiplication is a fundamental and performance determining operation in various public-key cryptosystems. High-performance modular multipliers on FPGAs are commonly realized by several small-sized multipliers, an adder tree for summing up the ...
Koppermann, Philipp and De Santis, Fabrizio and Heyszl, Johann and Sigl, Georg
core  

On prime factors of Mersenne numbers

open access: yes, 2016
to appear in Palestine Journal of ...
Cambraia, Ady jun.   +4 more
openaire   +3 more sources

On the ratio of the sum of divisors and Euler’s totient function II [PDF]

open access: yes, 2014
We find the form of all solutions to ø(n) | σ(n) with three or fewer prime factors, except when the quotient is 4 and n is ...
Qizhi Zhou   +3 more
core  

On inversion modulo pseudo-Mersenne primes [PDF]

open access: yes, 2020
It is well established that the method of choice for implementing a side-channel secure modular inversion, is to use Fermat\u27s little theorem. So $1/x = x^{p-2} \bmod p$. This can be calculated using any multiply-and-square method safe in the knowledge
Michael Scott
core  

Note for the Mersenne Primes

open access: yes
This paper tackles a longstanding problem in number theory: the existence of odd perfect numbers. A perfect number is defined as a positive integer whose sum of all its proper divisors (excluding itself) is equal to twice the number itself. While Euclid demonstrated a method to construct even perfect numbers using Mersenne primes (primes of the form $2^
openaire   +1 more source

Sieve for Mersenne prime numbers

open access: yes, 2019
The algorithm generates many odd numbers, but only prime numbers of mersenne and not common prime numbers.
openaire   +2 more sources

Post-Quantum Security: Opportunities and Challenges. [PDF]

open access: yesSensors (Basel), 2023
Li S   +7 more
europepmc   +1 more source

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