24 citations · 45 across the 6 of their papers we have counts for
5 papers · 1 filter
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…