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Abstract
In this article we investigate the asymptotic p-rank of a new tower of function fields defined over cubic finite fields. Its limit meets Zink's bound, but the new feature of this tower is that its asymptotic
p-rank for small cubic finite fields is much smaller than that of other cubic towers for which the asymptotic p-rank is known. This is of independent interest, but also makes this new tower more interesting for theoretical applications in cryptography.
p-rank for small cubic finite fields is much smaller than that of other cubic towers for which the asymptotic p-rank is known. This is of independent interest, but also makes this new tower more interesting for theoretical applications in cryptography.
| Original language | English |
|---|---|
| Journal | Acta Arithmetica |
| Volume | 177 |
| Issue number | 4 |
| Pages (from-to) | 347-374 |
| Number of pages | 28 |
| ISSN | 0065-1036 |
| DOIs | |
| Publication status | Published - 2017 |
Keywords
- Tower of function fields
- Number of rational places
- Ihara's constant
- Cartier operator
- P-rank
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COFUNDPostdocDTU: COFUNDPostdocDTU
Præstrud, M. R. (Project Participant) & Brodersen, S. W. (Project Participant)
01/01/2014 → 31/12/2019
Project: Research