A survey on recursive towers and Ihara's constant

P Beelen - arXiv preprint arXiv:2203.03310, 2022 - arxiv.org
Since Serre gave his famous Harvard lectures in 1985 on various aspects of the theory of
algebraic curves defined over a finite field, there have been many developments. In this …

Good families of Drinfeld modular curves

A Bassa, P Beelen, N Nguyen - LMS Journal of Computation and …, 2015 - cambridge.org
In this paper, we investigate examples of good and optimal Drinfeld modular towers of
function fields. Surprisingly, the optimality of these towers has not been investigated in full …

Locally Recoverable Codes From Algebraic Curves

S Ballentine - 2018 - search.proquest.com
Locally recoverable (LRC) codes have the property that erased coordinates can be
recovered by retrieving a small amount of the information contained in the entire codeword …

Good towers of function fields

N Nguyen - 2015 - orbit.dtu.dk
Algebraic curves are used in many different areas, including error-correcting codes. In such
applications, it is important that the algebraic curve C meets some requirements. The curve …