Results 111 to 120 of about 277 (163)

Integer Factorization

, 1983
This report gives a summary of methods for factoring large integers and presents particular factorizations obtained by these methods using the computer facilities at DAIMI.We have used trial division, the continued fraction method, Pollard's methods ...
Naur, Thorkil
core  

A Study on the Structure of Ideal-Based Non-Zero Divisor Graphs Associated with <i>Z</i> _<i>n</i>. [PDF]

F1000Res
Kadem S, Abd Aubad A.
europepmc   +1 more source

Lightweight Sensor Authentication Scheme for Energy Efficiency in Ubiquitous Computing Environments. [PDF]

Sensors (Basel), 2016
Lee J, Sung Y, Park JH.
europepmc   +1 more source

Factorability in the ring Z[√–5]

, 2004
The fundamental theorem of arithmetic says that any integer greater than 2 can be written uniquely as a product of primes. For the ring Z[√–5], although unique factorization holds for ideals, unique factorization fails for elements.
Lynch, Laura
core  

Computational challenges and solutions: Prime number generation for enhanced data security. [PDF]

PLoS One
Ezz-Eldien A, Ezz M, Alsirhani A, Mostafa AM, Alomari A, Alserhani F, Alshahrani MM.   +6 more
europepmc   +1 more source

Bootstrapping variables in algebraic circuits. [PDF]

Proc Natl Acad Sci U S A, 2019
Agrawal M, Ghosh S, Saxena N.
europepmc   +1 more source

Elliptic curves and primality testing

, 2015
The aim of the thesis is to desribe and implement the elliptic curve factorization method using curves in Edwards form. The thesis can be notionally divided into two parts. The first part deals with the theory of Edwards curves especially with properties
Haníková, Adéla
core  

On Quantum Ergodicity for Higher Dimensional Cat Maps. [PDF]

Commun Math Phys
Kurlberg P, Ostafe A, Rudnick Z, Shparlinski IE.   +3 more
europepmc   +1 more source

Origins of numbers: a shared language-of-thought for arithmetic and geometry? [PDF]

Trends Cogn Sci
Dehaene S, Sablé-Meyer M, Ciccione L.
europepmc   +1 more source

Commutative n-ary Arithmetic

, 2015
Motivated by primality and integer factorization, this thesis introduces generalizations of standard binary multiplication to commutative n-ary operations based upon geometric construction and representation.
Bingham, Aram
core