- Abstract:
-
We present a practical polynomial-time algorithm for computing the zeta function of a Kummer curve over a finite field of small characteristic. Such algorithms have recently been obtained using a method of Kedlaya based upon Monsky-Washnitzer cohomology, and are of interest in cryptography. We take a different approach. The problem is reduced to that of computing the L-function of a multiplicative character sum. This latter task is achieved via a cohomological formula based upon the work of D...
Expand abstract - Publisher copy:
- 10.1007/s10208-002-0066-6
-
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- Journal:
- Foundations of Computational Mathematics
- Volume:
- 3
- Issue:
- 3
- Pages:
- 273-295
- Publication date:
- 2003
- DOI:
- EISSN:
-
1615-3383
- ISSN:
-
1615-3375
- URN:
-
uuid:1e14b590-1228-4ae7-b4eb-8b8619265853
- Source identifiers:
-
147873
- Local pid:
- pubs:147873
- Language:
- English
- Keywords:
- Copyright date:
- 2003
Journal article
Computing zeta functions of Kummer curves via multiplicative characters
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