A new tower with good $p$-rank meeting Zink’s bound | Zendy

Nurdagül Anbar | Zendy; Peter Beelen | Zendy; Nhut Nguyen | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

A new tower with good $p$-rank meeting Zink’s bound

Author(s) -

Nurdagül Anbar,

Peter Beelen,

Nhut Nguyen

Publication year - 2017

Publication title -

acta arithmetica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.729

H-Index - 44

eISSN - 1730-6264

pISSN - 0065-1036

DOI - 10.4064/aa8388-6-2016

Subject(s) - tower , mathematics , rank (graph theory) , limit (mathematics) , finite field , function (biology) , upper and lower bounds , combinatorics , mathematical analysis , structural engineering , engineering , evolutionary biology , biology

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 prank 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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research