24 citations · 46 across the 10 of their papers we have counts for
8 papers · 1 filter
On the Maximal Length of MDS Elliptic Codes
Haojie Chen, Chuangqiang Hu, Junjie Huang +1
The determination of the maximal length of maximum distance separable (MDS) codes arising from elliptic curves is a central problem in coding theory. For an elliptic curve over…
Complete Weight Distribution and MacWilliams Identities for Asymmetric Quantum Codes
Chuangqiang Hu, Shudi Yang, Stephen S. -T. Yau
In 1997, Shor and Laflamme defined the weight enumerators for quantum error-correcting codes and derived a MacWilliams identity. We extend their work by introducing our double weig…
Multi-point Codes from the GGS Curves
Chuangqiang Hu, Shudi Yang
This paper is concerned with the construction of algebraic geometric codes defined from GGS curves. It is of significant use to describe bases for the Riemann-Roch spaces associate…
Weierstrass Pure Gaps From a Quotient of the Hermitian Curve
Shudi Yang, Chuangqiang Hu
In this paper, by employing the results over Kummer extensions, we give an arithmetic characterization of pure gaps at many totally ramified places over the quotients of Hermitian…
Weierstrass Semigroups from Kummer Extensions
Shudi Yang, Chuangqiang Hu
The Weierstrass semigroups and pure gaps can be helpful in constructing codes with better parameters. In this paper, we investigate explicitly the minimal generating set of the Wei…
Multi-point Codes over Kummer Extensions
Chuangqiang Hu, Shudi Yang
This paper is concerned with the construction of algebraic geometric codes defined from Kummer extensions. It plays a significant role in the study of such codes to describe bases…
Explicit Construction of AG Codes from Generalized Hermitian Curves
Chuangqiang Hu
We present multi-point algebraic geometric codes overstepping the Gilbert-Varshamov bound. The construction is based on the generalized Hermitian curve introduced by A. Bassa, P. B…
Multi-point Codes from Generalized Hermitian Curves
Chuangqiang Hu, Chang-An Zhao
We investigate multi-point algebraic geometric codes defined from curves related to the generalized Hermitian curve introduced by Alp Bassa, Peter Beelen, Arnaldo Garcia, and Henni…