22 citations · 34 across the 5 of their papers we have counts for
5 papers
Optimal locally repairable codes via elliptic curves
Xudong Li, Liming Ma, Chaoping Xing
Constructing locally repairable codes achieving Singleton-type bound (we call them optimal codes in this paper) is a challenging task and has attracted great attention in the last…
Construction of asymptotically good locally repairable codes via automorphism groups of function fields
Xudong Li, Liming Ma, Chaoping Xing
Locally repairable codes have been investigated extensively in recent years due to practical application in distributed storage as well as theoretical interest. However, not much w…
Construction of optimal locally repairable codes via automorphism groups of rational function fields
Lingfei Jin, Liming Ma, Chaoping Xing
Locally repairable codes, or locally recoverable codes (LRC for short) are designed for application in distributed and cloud storage systems. Similar to classical block codes, ther…
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…