Geodesic
A new tower with good $p$-rank meeting Zink’s bound
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
Acta Arithmetica, Tome 177 (2017) no. 4, pp. 347-374 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'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.
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 
@article{10_4064_aa8388_6_2016,
     author = {Nurdag\"ul Anbar and Peter Beelen and Nhut Nguyen},
     title = {A new tower with good $p$-rank meeting {Zink{\textquoteright}s} bound},
     journal = {Acta Arithmetica},
     pages = {347--374},
     year = {2017},
     volume = {177},
     number = {4},
     doi = {10.4064/aa8388-6-2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa8388-6-2016/}
}
TY  - JOUR
AU  - Nurdagül Anbar
AU  - Peter Beelen
AU  - Nhut Nguyen
TI  - A new tower with good $p$-rank meeting Zink’s bound
JO  - Acta Arithmetica
PY  - 2017
SP  - 347
EP  - 374
VL  - 177
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa8388-6-2016/
DO  - 10.4064/aa8388-6-2016
LA  - en
ID  - 10_4064_aa8388_6_2016
ER  - 
%0 Journal Article
%A Nurdagül Anbar
%A Peter Beelen
%A Nhut Nguyen
%T A new tower with good $p$-rank meeting Zink’s bound
%J Acta Arithmetica
%D 2017
%P 347-374
%V 177
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4064/aa8388-6-2016/
%R 10.4064/aa8388-6-2016
%G en
%F 10_4064_aa8388_6_2016
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

Cité par Sources :