You can also "taper" the core so you don't get an abrupt transition from full line to core only- Just take point where you want "full line" and then cut some of the core, remove these strands, move down several inches, cut more, etc. until get to point where cut the rest and have cover only beyond that point. One advantage of tapering is tends not "slip" or bunch at the transition- You can also sew/stitch the cover to the core at/near the transition to help prevent this- Just stretch line very well (tying off the "full" end) first-
There are many good books at West Marine, etc. on lines and rigging that go into lots of details and most of the rope companies will send you literature if you ask for it on exactly how they recommend "modifying" (even knotting!) their lines-
Regards,
Kirt