Publications by Michael Nöcker

The documents contained in this page are included as a means to ensure timely dissemination of scholarly and technical work on a non-commercial basis. Copyright and all rights therein are maintained by the authors or by other copyright holders, notwithstanding that these works are posted here electronically. It is understood that all persons copying any of these documents will adhere to the terms and constraints invoked by each copyright holder, and in particular use them only for noncommercial purposes. These works may not be posted elsewhere without the explicit written permission of the copyright holder.


There is also a BibTeX file corresponding to this list.

2005

JOACHIM VON ZUR GATHEN & MICHAEL NÖCKER (2005).
Polynomial and normal bases for finite fields.
Journal of Cryptology 18(4), 337-355.
ISSN 0933-2790.
Link to electronic version.

2004

JOACHIM VON ZUR GATHEN & MICHAEL NÖCKER (2004).
Fast arithmetic with general Gauß periods.
Theoretical Computer Science 315, 419-452.
Link to PDF version.

2003

JOACHIM VON ZUR GATHEN & MICHAEL NÖCKER (2003).
Computing special powers in finite fields.
Mathematics of Computation 73(247), 1499-1523.
ISSN 0025-5718.
Link to electronic version.
Article electronically published on September 26, 2003.
PDF (471879 Bytes).
PostScript (489932 Bytes).
PostScript gzipped (170401 Bytes).

2001

OLAF BONORDEN, JOACHIM VON ZUR GATHEN, JÜRGEN GERHARD, OLAF MÜLLER & MICHAEL NÖCKER (2001).
Factoring a binary polynomial of degree over one million.
ACM SIGSAM Bulletin 35(1), 16-18.
Link to PDF version.
PDF (153559 Bytes).
PostScript (125924 Bytes).
PostScript gzipped (53464 Bytes).

MICHAEL NÖCKER (2001).
Data structures for parallel exponentiation in finite fields.
Doktorarbeit, Universität Paderborn, Germany.
Author's homepage.
PDF (3097431 Bytes).
PostScript (2438778 Bytes).
PostScript gzipped (782794 Bytes).

2000

MICHAEL NÖCKER (2000).
Some Remarks on Parallel Exponentiation: Extended Abstract.
In Proceedings of the 2000 International Symposium on Symbolic and Algebraic Computation ISSAC2000, St. Andrews, Scotland, CARLO TRAVERSO, editor, 250-257.

1999

JOACHIM VON ZUR GATHEN & MICHAEL NÖCKER (1999).
Computing Special Powers in Finite Fields: Extended Abstract.
In Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation ISSAC '99, Vancouver, Canada, SAM DOOLEY, editor, 83-90. ACM Press.
Link to electronic version.

JOACHIM VON ZUR GATHEN & MICHAEL NÖCKER (1999).
Normal bases, Gauss periods, and fast arithmetic.
In Abstracts of the Fifth International Conference on Finite Fields and Applications, University of Augsburg, 70.

MICHAEL NÖCKER (1999).
Normal bases, Gauss periods, and fast arithmetic.
Abstract, Fifth International Conference on Finite Fields and Applications, August 2-6, 1999, University of Augsburg.

1997

JOACHIM VON ZUR GATHEN & MICHAEL NÖCKER (1997).
Exponentiation in Finite Fields: Theory and Practice.
In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: AAECC-12, Toulouse, France, TEO MORA & HAROLD MATTSON, editors, number 1255 in Lecture Notes in Computer Science, 88-113. Springer-Verlag.
ISSN 0302-9743.
Link to electronic version.
Abstract (4642 Bytes).
PDF (363053 Bytes).
PostScript (317559 Bytes).
PostScript gzipped (100943 Bytes).

1996

MICHAEL NÖCKER (1996).
Exponentiation in finite fields: theory and practice.
Diplomarbeit, Universität-GH Paderborn.
Author's homepage.
PDF (1244106 Bytes).
PostScript (947094 Bytes).
PostScript gzipped (281039 Bytes).

There is also a BibTeX file corresponding to this list.