32 citations · 121 across the 40 of their papers we have counts for
6 papers · 1 filter
The Weight Distribution of a Class of Cyclic Codes Related to Hermitian Forms Graphs
Shuxing Li, Sihuang Hu, Tao Feng +1
The determination of weight distribution of cyclic codes involves evaluation of Gauss sums and exponential sums. Despite of some cases where a neat expression is available, the com…
Association schemes related to Delsarte-Goethals codes
Tao Feng, Gennian Ge, Sihuang Hu
In this paper, we construct an infinite series of 9-class association schemes from a refinement of the partition of Delsarte-Goethals codes by their Lee weights. The explicit expre…
A characterization of two-weight projective cyclic codes
Tao Feng
We give necessary conditions for a two-weight projective cyclic code to be the direct sum of two one-weight irreducible cyclic subcodes of the same dimension, following the work of…
Paley type group schemes from cyclotomic classes and Arasu-Dillon-Player difference sets
Yu Qing Chen, Tao Feng
In this paper, we present constructions of abelian Paley type group schemes by using multiplicative characters of finite fields and Arasu-Dillon-Player difference sets. The constru…
Evaluation of the weight distribution of a class of cyclic codes based on index 2 Gauss sums
Tao Feng, Koji Momihara
The duals of cyclic codes with two zeros have been extensively studied, and their weight distributions have recently been evaluated in some cases. In this note, we determine the we…
Constructions of Strongly Regular Cayley Graphs and Skew Hadamard Difference Sets from Cyclotomic Classes
Tao Feng, Koji Momihara, Qing Xiang
In this paper, we give a construction of strongly regular Cayley graphs and a construction of skew Hadamard difference sets. Both constructions are based on choosing cyclotomic cla…