33 citations · 80 across the 23 of their papers we have counts for
5 papers · 1 filter
Quantum Stabilizer Codes from Maximal Curves
Lingfei Jin
A curve attaining the Hasse-Weil bound is called a maximal curve. Usually classical error-correcting codes obtained from a maximal curve have good parameters. However, the quantum…
A Construction of New Quantum MDS Codes
Lingfei Jin, Chaoping Xing
It has been a great challenge to construct new quantum MDS codes. In particular, it is very hard to construct quantum MDS codes with relatively large minimum distance. So far, exce…
Quantum Gilbert-Varshamov Bound Through Symplectic Self-Orthogonal Codes
Lingfei Jin, Chaoping Xing
It is well known that quantum codes can be constructed through classical symplectic self-orthogonal codes. In this paper, we give a kind of Gilbert-Varshamov bound for symplectic s…
A Construction of Quantum Codes via A Class of Classical Polynomial Codes
Lingfei Jin, Chaoping Xing
There have been various constructions of classical codes from polynomial valuations in literature \cite{ARC04, LNX01,LX04,XF04,XL00}. In this paper, we present a construction of cl…
Euclidean and Hermitian Self-orthogonal Algebraic Geometry Codes and Their Application to Quantum Codes
Lingfei Jin, Chaoping Xing
In the present paper, we show that if the dimension of an arbitrary algebraic geometry code over a finite field of even characters is slightly less than half of its length, then it…