sea snake identification requested

I've been trying to find out the name of the snake I saw while snorkeling at Coral Beach. It was swimming below me, from under one rock to under another. About 3" in diameter, with black and narrow dark orange stripes. I couldn't see how long it was, since it was in the process of moving from one hidden spot to another. It took several seconds to see the tail, which did narrow down. Anyone know what it was? Thanks if you do! I'm new to snorkeling, and curious about all the fun creatures I have seen.