The key thing is to do the first part of the drying - until the rope no longer feels wet to the touch - under lots of tension. If you’re lucky enough to have the opportunity, the best way is to string it out between a couple of trees or equivalent.  Attach some lengths of old clothesline or something to each end of your rope (if it’s knotted, a lark’s head just above the knot works fine), and stretch the rope out as tight as you can get it. On a dry day, obviously, there’s not a lot of point in doing this in the rain.

If you can’t do that, do the next best thing you can. And if you have to improvise, at least make sure that you give the rope a really really really good stretch at least two or three times during that initial drying stage.

Once that’s done, bring the rope inside and finish the drying in loose open coils, giving it a stretch now and again. And leave it drying for two or three days longer than you think it needs!