5 citations · 13 across the 15 of their papers we have counts for
13 papers · 1 filter
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…
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…