Bounds for Completely Decomposable Jacobians

Iwan Duursma and Jean-Yves Enjalbert
Additional contact information
Iwan Duursma: University of Illinois at U-C
Jean-Yves Enjalbert: Université de Limoges

A chapter in Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, 2002, pp 86-93 from Springer

Abstract: Abstract A curve over the field of two elements with completely decomposable Jacobian is shown to have at most six rational points and genus at most 26. The bounds are sharp. The previous upper bound for the genus was 145. We also show that a curve over the field of q elements with more than q m /2 + 1 rational points has at least one Fobenius angle in the open interval (π/m, 3π/m). The proofs make use of the explicit formula method.

Date: 2002
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59435-9_7

Ordering information: This item can be ordered from
http://www.springer.com/9783642594359

DOI: 10.1007/978-3-642-59435-9_7

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().