Please tell me what types of dietary fatty acids raise hdl levels?

Not the key: Data is contradictory, effects seem small, and it's impossible to do a prospective randomized study without confounding variables in people. Probably no single component of your diet will give you the HDL boost or the overall protection from atherosclerosis that sensible overall eating, avoiding smoking, managing hypertension, and especially being physically fit will provide for you.

Mono and poly.: It's generally felt that mono and polyunsaturated fats, like those in fish, can raise your HDL levels. It would be wise to include fish (not fried) in your diet as part of an overall health strategy.