Evaluation of the weight distribution of a class of cyclic codes based   on index 2 Gauss sums
  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 weight distribution of a certain new class of such codes by computations involving index 2 Gauss sums. 
Tao Feng, Koji Momihara
math.CO