Engineering↗
Checking the Condition C_p
The central congruence condition of the Jacobi sum test, what it asserts, and how it is verified in practice.
Tag
Frobenius
Every page in the KEVOS library tagged Frobenius. 7 pages.
Engineering↗
Distinct Degree Factorisation
Separating irreducible factors by degree using GCDs against Frobenius powers, and the early-abort strategies that make it fast.
Engineering↗
Finite Field Multiplication and Inversion
Multiplication with reduction, inversion by extended Euclid or by exponentiation, and the Itoh-Tsujii method for extension fields.
Engineering↗
Radical Computation and the Ring of Multipliers
Computing the p-radical of an order as a kernel, and the ring of multipliers that enlarges the order.
Engineering↗
Root Finding over Finite Fields
Finding roots of a polynomial in a finite field by GCD with the Frobenius polynomial followed by probabilistic splitting.
Engineering↗
Schoof's Point Counting Algorithm
Schoof's polynomial-time algorithm for counting points on a curve over a finite field, and the SEA improvements.
Engineering↗
The Berlekamp Factorisation Algorithm
Berlekamp's linear algebra approach to factoring over a finite field, the Berlekamp subalgebra, and when it outperforms the GCD pipeline.
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