Optimal Constant Composition Codes From Zero-Difference Balanced Functions

Constant composition codes are a special class of constant weight codes, and include permutation codes as a subclass. They have applications in communications engineering. In this correspondence, a generic construction of optimal constant composition codes using zero-difference balanced functions is introduced. It generalizes the earlier construction of optimal constant composition codes employing perfect nonlinear functions. In addition, two classes of optimal constant composition codes with new parameters are reported.