CLOSE PROX OF SMA AND HELI IN TFC PATTERN.

Narrative

TFC CONFLICT WAS RPTED TO ME BY TWR AND ANOTHER PLT OF A TURBINE HELI. MY ACFT WAS APCHING HNL ARPT FROM THE NW WITH A CLRNC FOR A DOWNWIND TFC PATTERN ENTRY FROM HNL APCH. MY AIRPLANE CROSSED OVER THE NAVY MARINE GOLF COURSE AT 1000 FT. I PROCEEDED TO MAKE A R TURN FOR THE L DOWNWIND TO RWY 4L AND BEGAN DSCNT TO 800 FT. AFTER I CROSSED OVER THE ARPT TERMINAL; A HELI PLT RPTED A CESSNA THAT WAS PASSING NEAR HIS POS. WHILE ON DOWNWIND; THE TWR CTLR ADVISED ME THAT I WAS 'TOO LOW' AND THAT I PRESENTED A POTENTIAL HAZARD FOR OTHER ACFT. THE TWR CTLR FAILED TO ADVISE ME AND THE HELI OF OUR CLOSE PROX TO ONE ANOTHER. UNDER NORMAL CONDITIONS; IF A HELI IS OPERATING IN THIS AREA; FIXED WING ACFT ARE RESTR TO DSND NO LOWER THAN 1500 FT MSL UNTIL ADVISED BY TWR. I RECEIVED NO ALT RESTR FROM TWR OR APCH. I BELIEVE THAT THERE WAS SOME SORT OF MISCOM ON THE PART OF THE TWR; EITHER WITH THE APCH CTLR; THE HELI; OR MYSELF. I SAW THE HELI PRIOR TO REACHING THE GOLF COURSE. HE WAS WBOUND AND HIGHER THAN MY AIRPLANE. I TURNED INBOUND TO THE ARPT WHEN I KNEW THAT I WOULD SAFELY PASS BEHIND IT. HOWEVER; THE HELI WAS CIRCLING AND AS HE WAS TURNING; FLEW OVER MY AIRPLANE.