Design solution for construction of strictlyoptimized (ν, k, 1) optical orthogonal codes

The definitions of strictoptimal and quasioptimal (ν, k, 1) optical orthogonal codes are introduced. The relationship between optimal optical orthogonal code and cyclic difference family is given. Based on Wilson’s lemma on evenly distributed differences and primary number theory, a simple and practical construction method for optimal (ν, k, 1) cyclic difference family is proposed. Furthermore, this method was applied to the construction of optical orthogonal codes, and some strictoptimal (ν, k, 1) optical orthogonal codes could be constructed efficiently, in which, the code length ν was a prime number. Finally, through an example of the construction of strictoptimal (ν, k, 1) optical orthogonal codes, the computer assistant design method is given. The work can provides an effective approach for the construction of strictoptimal (ν, k, 1) optical orthogonal codes.