Engineering↗
Buchmann's Sub-exponential Algorithm: Overview
Buchmann's algorithm for class groups and units of arbitrary number fields, its structure, and where its cost concentrates.
Tag
GRH
Every page in the KEVOS library tagged GRH. 4 pages.
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.
Engineering↗
Minkowski and Bach Bounds
Bounds on the norm of ideals needed to generate the class group, and why the conditional bound is what makes computation practical.
Engineering↗
Verifying Class Group and Regulator Results
Confirming class group and regulator results against the analytic class number formula, and what such confirmation does and does not establish.
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