Persistent URL of this record https://hdl.handle.net/1887/3176464
Documents
-
- Download
- Title pages_Contents
- open access
-
- Download
- Bibliography
- open access
-
- Download
- Summary in Dutch
- open access
-
- Download
- Acknowledgements_Curriculum Vitae
- open access
-
- Download
- Propositions
- open access
In Collections
This item can be found in the following collections:
On the computation of norm residue symbols
An algorithm is discussed to compute the exponential representation of principal units in a finite extension field F of the p-adic rationals. Also is discussed the computation of roots of unity contained in F and a special kind of principal unit, which is called a distinguished unit. The properties of norm residue symbols are given and also an algorithm to compute the norm residue symbol. Moreover a strongly distinguished unit is defined and an algorithm is given to compute such a unit. All the algorithms are polynomial time algorithms.
- All authors
- Bouw, J.
- Supervisor
- Luijk, R.M. van
- Co-supervisor
- Lenstra, H.W.; Kosters M.F.
- Committee
- Duijn Schouten, F. A. van der: Smit, B. de; Bayer-Fluckiger, E.; Voight, J.M.
- Qualification
- Doctor (dr.)
- Awarding Institution
- Mathematical Institute (MI), Faculty of Science, Leiden University
- Date
- 2021-05-19