5 citations · 12 across the 8 of their papers we have counts for
5 papers · 2 filters
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…
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…
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…
Two constructions of asymptotically optimal codebooks via the trace functions
Xia Wu, Wei Lu, Xiwang Cao +1
In this paper, we present two new constructions of complex codebooks with multiplicative characters, additive characters and trace functions over finite fields, and determine the m…