Improving the efficiency of using multivalued logic tools: application of algebraic rings. [PDF]
Sci Rep, 2023 Suleimenov IE +3 more
europepmc +1 more source
ALL EVEN (UNITARY) PERFECT POLYNOMIALS OVER F 2 WITH ONLY MERSENNE PRIMES AS ODD DIVISORS
, 2022 International audienceWe address an arithmetic problem in the ring F 2 [x]. We prove that the only (unitary) perfect polynomials over F 2 that are products of x, x + 1 and of Mersenne primes are precisely the nine (resp. nine "classes") known ones.
Rahavandrainy, Olivier +1 more
core
All bi-unitary perfect polynomials over $\F_2$ only divisible by $x$, $x+1$ and by Mersenne primes
, 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 divisors.Comment: 9 pages.
Gallardo, Luis H. +1 more
core
Fast Constant-Time Modular Inversion over Fp Resistant to Simple Power Analysis Attacks for IoT Applications. [PDF]
Sensors (Basel), 2022 Sghaier A +5 more
europepmc +1 more source
A quantum-inspired probabilistic prime factorization based on virtually connected Boltzmann machine and probabilistic annealing. [PDF]
Sci Rep, 2023 Jung H +6 more
europepmc +1 more source
Improving the efficiency of using multivalued logic tools. [PDF]
Sci Rep, 2023 Suleimenov IE +3 more
europepmc +1 more source
On (unitary) perfect polynomials over F2 with only Mersenne primes as odd divisors
The only (unitary) perfect polynomials over F2 with only Mersenne primes as odd divisors that are products of $x$, $x+1$ and Mersenne primes are precisely the nine (resp. nine "classes") known ones.
Gallardo, Luis, Rahavandrainy, Olivier
core +1 more source
The influence of random number generation in dissipative particle dynamics simulations using a cryptographic hash function. [PDF]
PLoS One, 2021 Okada K, Brumby PE, Yasuoka K.
europepmc +1 more source
Tesla-Kaoru Conjecture: A New and Fast Method to Find Mersenne Primes
This project introduces the Tesla-Kaoru Conjecture, a novel and efficient digital root-based filter for identifying candidate exponents of Mersenne primes.
Kaoru Aguilera Katayama
core +1 more source