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math.NT2020
Sorting and labelling integral ideals in a number field
John Cremona, Aurel Page, Andrew V. Sutherland
We define a scheme for labelling and ordering integral ideals of number fields, including prime ideals as a special case. The order we define depends only on the choice of a monic…
math.NT2018
Codes from unit groups of division algebras over number fields
Christian Maire, Aurel Page
Lenstra and Guruswami described number field analogues of the algebraic geometry codes of Goppa. Recently, the first author and Oggier generalised these constructions to other arit…