Result: A note on the Tate pairing of curves over finite fields
Title:
A note on the Tate pairing of curves over finite fields
Authors:
Source:
Archiv der Mathematik. 82:28-32
Publisher Information:
Springer Science and Business Media LLC, 2004.
Publication Year:
2004
Subject Terms:
Curves over finite and local fields, Computational aspects of algebraic curves, Tate pairing, Arithmetic theory of algebraic function fields, Cryptography, Chebotarev density theorem, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Algebraic functions and function fields in algebraic geometry, 0101 mathematics, finite field, 01 natural sciences, curve
Document Type:
Academic journal
Article
File Description:
application/xml
ISSN:
1420-8938
0003-889X
0003-889X
DOI:
10.1007/s00013-003-4773-2
Access URL:
https://zbmath.org/2101537
https://doi.org/10.1007/s00013-003-4773-2
http://research-information.bristol.ac.uk/en/publications/a-note-on-the-tate-pairing-of-curves-over-finite-fields(d326a87e-8891-43ff-9f25-2be662d5d0ef)/export.html
https://research-information.bris.ac.uk/en/publications/a-note-on-the-tate-pairing-of-curves-over-finite-fields
https://link.springer.com/content/pdf/10.1007%2Fs00013-003-4773-2.pdf
https://link.springer.com/article/10.1007%2Fs00013-003-4773-2
https://doi.org/10.1007/s00013-003-4773-2
http://research-information.bristol.ac.uk/en/publications/a-note-on-the-tate-pairing-of-curves-over-finite-fields(d326a87e-8891-43ff-9f25-2be662d5d0ef)/export.html
https://research-information.bris.ac.uk/en/publications/a-note-on-the-tate-pairing-of-curves-over-finite-fields
https://link.springer.com/content/pdf/10.1007%2Fs00013-003-4773-2.pdf
https://link.springer.com/article/10.1007%2Fs00013-003-4773-2
Rights:
Springer TDM
Accession Number:
edsair.doi.dedup.....758711b72229bb90b7a82db06fd7c5a6
Database:
OpenAIRE
Further Information
The author provides a very short proof of the non-degeneracy of the Tate \(m\)-pairing on the Jacobian of a curve over a finite field in the case where the finite field contains the \(m\)-th roots of unity. The proof is obtained by combining elementary facts about curves with the Chebotarev density theorem for function fields.