"Asian" in England these days tends to be understood as meaning South Asian - India, Pakistan, Bangla Desh and Ceylon. Perhaps Afghanistan and Malaya.

"Oriental" as an adjective is not uncommon, say for food or carpets. Probably not for computers. East Asian would be seen as more appropriate for Chinese/Japanese etc. People from Arab countries would be referred to as Arabs. Which leaves lots of other countries rather free floating. "Other" is the heading they'd be expected to click in a census.