I was in Kiev in 1988 at the WCh when Kolesnikov won the title flying the KA-17. Paul was flying Bad News, and Jim Casale flew Columbia.
I had overheard Anatoly tell someone that the KA-17 had its tail lengthened by 3/4" compared to the previous version (not sure what that version was labeled). I would not be surprised to know that he built 17 (or probably more like 20 or 25) versions of the .54-sized KA series. The plans referenced by others here (not the MA version) are of much, much older versions, dating to the late 70's and early 80's, powered by 5.6 cc - 7.5 cc engines. All his late engines were custom made for him, of very high quality and very light (hence the long nose), but otherwise of fairly conventional loop scavenged design.
I'm not aware of any plans of his .54-sized planes published anywhere, so unless someone has plans autographed by Anatoly himself, I would seriously question their authenticity.
Some of the underlying principles behind his designs are pretty well known and understood by now (but not universally accepted). The so-called inline design places engine thrust, wing, and stabilizer on the same plane; the result is equal insides and outsides; I have built inline planes before and can attest that it largely works.
The tall bubble canopy, besides adding a realistic look of an aerobatic airplane (rather than an unlimited Reno racer), actually serves the purpose of further equalizing the inside/outside feel by offsetting the drag below thrustline generated by the landing gear.
The overall weight (around 55-56 oz) and the resulting wing loading (11 oz/ft^2) were kept very light by today's standards - loop scavenged engines are not exactly known for brute power (more like mild, stunt-friendly power). I don't even think they flew on full length lines back then...
So, the rest of the parameters and the overall layout were wrapped around these concepts and then honed to perfection through multiple iterations with small changes in between. To recreate the feel of a genuine KA-17 (or KA-8, KA-10, etc), one would have to recreate all of these aspects, not just the bubble canopy look with a tall rudder. Combine that with 60-80 flights per week, and you will be flying at the 1988 WCh level.