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
relation collection
Every page in the KEVOS library tagged relation collection. 4 pages.
Engineering↗
Class Group and Unit Computation: the Computational Problem
Why class group and unit computation are a single problem, what the combined algorithm produces, and how the results are verified.
Engineering↗
Relation Matrix Construction
Generating relations among ideal classes, assembling the sparse matrix, and knowing when enough relations have been collected.
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.
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