5 citations · 13 across the 15 of their papers we have counts for
15 papers
Infinite families -designs from binary projective three-weight codes
Canze Zhu, Qunying Liao, Haibo Liu
Combinatorial designs are closely related to linear codes. In recent year, there are a lot of -designs constructed from certain linear codes. In this paper, we aim to construct…
Several classes of projective few-weight linear codes and their applications
Canze Zhu, Qunying Liao
It is well-known that few-weight linear codes have better applications in secret sharing schemes \cite{JY2006,CC2005}.In particular, projective two-weight codes are very precious a…
The -extended twisted generalized Reed-Solomon code
Canze Zhu, Qunying Liao
In this paper, we give a parity check matrix for the -extended twisted generalized Reed Solomon (in short, ETGRS) code, and then not only prove that it is MDS or NMDS, but als…
The -twisted generalized Reed-Solomon code
Canze Zhu, Qunying Liao
In this paper, we not only give the parity check matrix of the -twisted generalized Reed-Solomon (in short, TGRS) code, but also determine the weight distribution. Especiall…
Global classical solutions to the compressible micropolar viscous fluids with large oscillations and vacuum
Canze Zhu, Qiang Tao
In this paper, we consider the three dimensional Cauchy problem of the compressible micropolar viscous flows, we prove the existence of unique global classical solution for smooth…
The equivalence of GRS codes and EGRS codes
Canze Zhu
Generalized Reed-Solomon and extended generalized Reed-Solomon (abbreviation to GRS and EGRS) codes are the most well-known family of MDS codes with wide applications in coding the…
The non-GRS properties for the twisted generalized Reed-Solomon code and its extended code
Canze Zhu, Qunying Liao
In 2017, Beelen et al. firstly introduced twisted generalized Reed-Solomon (in short, TGRS) codes, and constructed a large subclass of MDS TGRS codes. Later, they proved that TGRS…
Self-orthogonal generalized twisted Reed-Solomon codes
Canze Zhu, Qunying Liao
In this paper, by calculating the dual code of the Schur square for the standard twisted Reed-Solomon code, we give a sufficient and necessary condition for the generalized twisted…
The complete weight enumerator of the Reed-Solomon code with dimension two or three
Canze Zhu, Qunying Liao
It is well-known that Reed-Solomon codes and extended Reed-Solomon codes are two special classes of MDS codes with wide applications in practice. The complete weight enumerators of…
Self-dual twisted generalized Reed-Solomon codes
Canze Zhu, Qunying Liao
In this paper, by using some properties for linear algebra methods, the parity-check matrices for twisted generalized Reed-Solomon codes with any given hook and twist are p…
A new class of MDS symbol-pair codes
Canze Zhu, Qunying Liao
The symbol-pair code is a new coding framework proposed to guard against pair-errors in symbol-pair read channels. Especially, a symbol-pair code with the parameters achieving the…
Complete weight enumerators for several classes of two-weight and three-weight linear codes
Canze Zhu, Qunying Liao
In this paper, for an odd prime , by extending Li et al.'s construction \cite{CL2016}, several classes of two-weight and three-weight linear codes over the finite field $\mathbb…
Two new classes of projective two-weight linear codes
Canze Zhu, Qunying Liao
In this paper, for an odd prime , several classes of two-weight linear codes over the finite field are constructed from the defining sets, and then their complete…
The -weight distribution for MDS codes
Canze Zhu, Qunying Liao
For a positive integer , the -symbol code is a new coding framework proposed to combat -errors in -symbol read channels. Especially, the -symbol code is called a…
A recursion formula for the generalized Euler function
Canze Zhu, Qunying Liao
In this paper, basing on the linear algebra methods and elementary techniques, for any positive integers and , we obtain a recursion formula for the generalized Euler fu…