23 citations · 148 across the 60 of their papers we have counts for
5 papers · 1 filter
An improvement of the Hasse-Weil bound for Artin-Schreier curves via cyclotomic function fields
Liming Ma, Chaoping Xing
The corresponding Hasse-Weil bound was a major breakthrough in history of mathematics. It has found many applications in mathematics, coding theory and theoretical computer science…
The group structures of automorphism groups of elliptic function fields over finite fields and their applications to optimal locally repairable codes
Liming Ma, Chaoping Xing
The automorphism group of an elliptic curve over an algebraically closed field is well known. However, for various applications in coding theory and cryptography, we usually need t…
The asymptotic behavior of automorphism groups of function fields over finite fields
Liming Ma, Chaoping Xing
The purpose of this paper is to investigate the asymptotic behavior of automorphism groups of function fields when genus tends to infinity. Motivated by applications in coding and…
On subfields of the Hermitian function fields involving the involution automorphism
Liming Ma, Chaoping Xing
A function field over a finite field is called maximal if it achieves the Hasse-Weil bound. Finding possible genera that maximal function fields achieve has both theoretical intere…
Optimal rate algebraic list decoding using narrow ray class fields
Venkatesan Guruswami, Chaoping Xing
We use class field theory, specifically Drinfeld modules of rank 1, to construct a family of asymptotically good algebraic-geometric (AG) codes over fixed alphabets. Over a field o…