Sesame is usually planted in June. Some folks follow up with it right behind wheat harvest.
The seed is extremely small and doesn't take much dirt to cover it.
When picking a variety to plant, you would want a type that releases the seeds from the pods after it drys.
Sesaco has made a variety that stays inside the pod after it dries down, making it good for farming and harvest...I would assume you would want a type that doesn't hold the seed.
You mentioned rows, if it were me and it were strictly for dove, I would probably drill it.
Sesame is planted in 7.5", 15", 30", 36", and 40" rows.
Your 7.5" and 15" would come from a drill, the other spacing would be from a planter.
I think having a drill and plugging up every other hold to drill 15" would probably be the way I'd plant it.
Probably don't have to get that involved if it's just for birds though.
Just something to think about.