Engineering↗
Factor Base Selection and Smoothness
Choosing the factor base for class group computation, the smoothness trade-off, and how base size interacts with the linear algebra.
Tag
smoothness
Every page in the KEVOS library tagged smoothness. 5 pages.
Engineering↗
Number Field Sieve: Polynomial Selection and Structure
How the number field sieve achieves its complexity, why polynomial selection matters so much, and the role of number field arithmetic.
Engineering↗
Smoothness and Sub-exponential Complexity
Smooth numbers, the Dickman function, and how balancing smoothness probability against factor base size produces sub-exponential running times.
Engineering↗
Sub-exponential Class Group Computation for Quadratic Fields
Sub-exponential class group and regulator computation for quadratic fields by relation collection over a factor base.
Engineering↗
The Pollard p-1 Method
Pollard's p-1 method, its dependence on the smoothness of the group order, and why that dependence is its fatal limitation.
Related
Other tags in the library.
mathematics 387
abstract algebra 252
Machine Design 184
business 179
project management 158
Computational Number Theory 123
algebra handbook 85
graduate mathematics 85
handbook 79
templates and examples 78
History of Engineering 77
Manufacturing 76
algebra and trigonometry 74
universal algebra 62
algebra 60
project delivery 60
principles of project management 58
advanced algebra 53
Fasteners and Joints 53
Civil Engineering 48
CAD 42
Context and scope 42
Machine Elements 40
Threading and Gaging 37
Mechanical Engineering 35
Power Transmission 34
template 34
Operational Excellence 32
example 31
project leadership 31
project teams 31
strategy 31
Business Expansion 29
Metrology 29
project management research 29
Sales & Marketing 29
personal development 27
behaviour change 26
habits 26
systems 26