A deterministic polynomial-time algorithm computes two-element representations of ideals in number fields under a coprimality condition on the norm and index.
Abhandlungen der Koniglichen Gesellschaft der Wissenschaften in Gottingen23, 3–38 (1878),http://eudml.org/doc/135827
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Deterministic and Efficient Ideal Arithmetic via Two-Element Representations
A deterministic polynomial-time algorithm computes two-element representations of ideals in number fields under a coprimality condition on the norm and index.