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

Nurdagül Anbar Meidl, Peter Beelen, Nhut Nguyen

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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.
Original languageEnglish
JournalActa Arithmetica
Volume177
Issue number4
Pages (from-to)347-374
Number of pages28
ISSN0065-1036
DOIs
Publication statusPublished - 2017

Keywords

  • Tower of function fields
  • Number of rational places
  • Ihara's constant
  • Cartier operator
  • P-rank

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