Geodesic
A new tower with good $p$-rank meeting Zink’s bound
Nurdagül Anbar1 ; Peter Beelen1 ; Nhut Nguyen1
1 Department of Applied Mathematics and Computer Science Technical University of Denmark 2800 Kongens Lyngby, Denmark
Acta Arithmetica, Tome 177 (2017) no. 4, pp. 347-374.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/aa8388-6-2016
Keywords: investigate asymptotic p rank tower function fields defined cubic finite fields its limit meets zink bound feature tower its asymptotic p rank small cubic finite fields much smaller other cubic towers which asymptotic p rank known independent interest makes tower interesting theoretical applications cryptography

Nurdagül Anbar 1 ; Peter Beelen 1 ; Nhut Nguyen 1

1 Department of Applied Mathematics and Computer Science Technical University of Denmark 2800 Kongens Lyngby, Denmark 
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Nurdagül Anbar; Peter Beelen; Nhut Nguyen. A new tower with good $p$-rank meeting Zink’s bound. Acta Arithmetica, Tome 177 (2017) no. 4, pp. 347-374. doi : 10.4064/aa8388-6-2016. http://geodesic.mathdoc.fr/articles/10.4064/aa8388-6-2016/

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