Results 81 to 90 of about 384 (160)
Strongly Base-Two Groups. [PDF]
Burness TC, Guralnick RM.
europepmc +1 more source
Automatic Generation of High-Performance Modular Multipliers for Arbitrary Mersenne Primes on FPGAs [PDF]
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
to appear in Palestine Journal of ...
Cambraia, Ady jun. +4 more
openaire +3 more sources
Covert Channel Communication as an Emerging Security Threat in 2.5D/3D Integrated Systems. [PDF]
Miketic I, Dhananjay K, Salman E.
europepmc +1 more source
On the ratio of the sum of divisors and Euler’s totient function II [PDF]
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]
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
High-Speed and Unified ECC Processor for Generic Weierstrass Curves over GF(p) on FPGA. [PDF]
Awaludin AM, Larasati HT, Kim H.
europepmc +1 more source
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
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]
Li S +7 more
europepmc +1 more source

