4 citations · 4 across the 1 of their papers we have counts for
6 papers
On Solvable Automorphism Groups of Function Fields over Finite Fields
Henning Stichtenoth, Chaoping Xing, Zugan Xing
The classical Hurwitz bound gives a linear upper bound in terms of the genus for automorphism groups of algebraic function fields in characteristic zero, whereas algebraic function…
Self-Dual Codes better than the Gilbert--Varshamov bound
Alp Bassa, Henning Stichtenoth
We show that every self-orthogonal code over of length can be extended to a self-dual code, if there exists self-dual codes of length . Using a family of Galoi…
Galois Towers over Non-prime Finite Fields
Alp Bassa, Peter Beelen, Arnaldo Garcia +1
In this paper we construct Galois towers with good asymptotic properties over any non-prime finite field ; i.e., we construct sequences of function fields $\mathc…
Towers of Function Fields over Non-prime Finite Fields
Alp Bassa, Peter Beelen, Arnaldo Garcia +1
Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places. Thus we obtain a substantial improvement on all known lower bound…
On the Invariants of Towers of Function Fields over Finite Fields
Florian Hess, Henning Stichtenoth, Seher Tutdere
We consider a tower of function fields F=(F_n)_{n\geq 0} over a finite field F_q and a finite extension E/F_0 such that the sequence \mathcal{E):=(EF_n)_{n\goq 0} is a tower over t…
Transitive and Self-dual Codes Attaining the Tsfasman-Vladut-Zink Bound
Henning Stichtenoth
We introduce - as a generalization of cyclic codes - the notion of transitive codes, and we show that the class of transitive codes is asymptotically good. Even more, transitive co…