Constructions of Optimal Optical Orthogonal Codes with Weights Set 5,7 via Cyclic Packing

Double-weight optical orthogonal codes are variable-weight optical orthogonal codes (OOCs), which have been widely applied in optical networks and systems. Some works have been devoted to optimal n,W,1,Q-OOCs with maxw:w∈W≤6. So far, there is no explicit construction of optimal n,W,1,Q-OOCs with W=5,7. It is known that heavier-weight codewords have better code performance than lighter-weight codewords. So, in this paper, we use cyclic packing to construct two infinite classes of optimal OOCs with weights set 5,7 explicitly, for any prime p≡3mod4 and p≥7. In addition, for 1≤t