Engineering↗
Modern Factoring Methods Compared
Comparing factoring methods by target size, expected factor size and available hardware, with a practical sequencing recommendation.
Tag
Quadratic Sieve
Every page in the KEVOS library tagged Quadratic Sieve. 5 pages.
Engineering↗
Quadratic Sieve Factor Base Selection
Choosing the factor base for the quadratic sieve, the quadratic residue criterion, and the multiplier.
Engineering↗
The Multiple Polynomial Quadratic Sieve
MPQS: using many polynomials with short intervals to keep values small, and the self-initialising variant.
Engineering↗
The Quadratic Sieve: Sieving Stage
The sieving stage: identifying smooth polynomial values in bulk using logarithm accumulation rather than trial division.
Engineering↗
The Quadratic Sieve and MPQS
The quadratic sieve, sieving by roots of a polynomial, the multiple polynomial variation, large prime variations, and the linear algebra stage.
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