13 citations · 54 across the 40 of their papers we have counts for
7 papers · 1 filter
The Parameters of Minimal Linear Codes
Wei Lu, Xia Wu, Xiwang Cao
Let be two positive integers and a prime power. The basic question in minimal linear codes is to determine if there exists an minimal linear code. The first…
Minimal Linear Codes Constructed from Functions
Xia Wu, Wei Lu, Xiwang Cao
In this paper, we consider minimal linear codes in a general construction of linear codes from q-ary functions. First, we give the sufficient and necessary condition for codewords…
Uniform mixing on integral abelian Cayley graph
Xiwang Cao
In the past few decades, quantum algorithms have become a popular research area of both mathematicians and engineers. Among them, uniform mixing provides a uniform probability dist…
Six constructions of asymptotically optimal codebooks via the character sums
Wei Lu, Xia Wu, Xiwang Cao +1
In this paper, using additive characters of finite field, we find a codebook which is equivalent to the measurement matrix in [20]. The advantage of our construction is that it can…
Optimal p-ary cyclic codes with two zeros
Yan Liu, Xiwang Cao
As a subclass of linear codes, cyclic codes have efficient encoding and decoding algorithms, so they are widely used in many areas such as consumer electronics, data storage system…
New constructions of asymptotically optimal codebooks via character sums over a local ring
Liqin Qian, Xiwang Cao, Wei Lu +1
In this paper, we present explicit description on the additive characters, multiplicative characters and Gauss sums over a local ring. As an application, based on the additive char…