Optical orthogonal codes (OOCs) are widely used

as spreading codes in optical fiber networks. In this paper,

a bound on the code size of 2-D OOCs with both at most

one-pulse per wavelength (AM-OPPW) and at most onepulse

per time slot (AM-OPPTS) is derived. Accordingly, two

constructions of optimal 2-D OOCs with both AM-OPPW

and AM-OPPTS are proposed via the generalized cyclotomic

classes. Furthermore, optimal 2-D OOC with AM-OPPW can

be also constructed by adding more codewords into the

2-D OOCs with both AM-OPPW and AM-OPPTS.