Optimal frequency hopping sequence sets from MDS codes

In this paper, we present a class of punctured codes from maximum distance separable (MDS) codes given by Ezerman, Grassl, and Solé in 2011. Choosing the left shift distinct sequences from every full-cycle equivalence class, we obtain a class of FH sequence sets, the parameters of which meet the Singleton bound on the maximum Hamming correlation of FH sequences.