RWY INCURSION RWY 32 CITED BY LCL CTLR FOR A TAXIING SF340 WHEN HEARING THEIR CALL SIGN. CREW ALLEGED THAT CTLR ISSUED WRONG SIMILAR CALL SIGN AT ANC.

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AT APPROX XA40 WE WERE TAXIING ON TXWY S FROM THE HANGAR TO PREPOSITION AT THE GATE. GND TOLD US TO CONTACT TWR APCHING RWY 32 FOR XING. APCHING INTERSECTING TXWY R; THE COPLT CALLED TWR AND SAID WE WERE APCHING RWY 32 FOR XING TO PREPOSITION TO GATE. TWR ADVISED US TO HOLD SHORT OF RWY 32. WE ACKNOWLEDGED. A FEW SECONDS LATER WE BOTH THOUGHT WE HEARD THE TWR TELL US TO CROSS RWY 32 (SAAB; ACFT X). THE COPLT ACKNOWLEDGED. I CHKED THAT RWY WAS CLR AND STARTED ACROSS. ABOUT 1/2 WAY ACROSS; THE TWR CAME BACK AND SAID TO HOLD SHORT OF RWY 32. I WAS ALREADY MOVING ACROSS AND CONTINUED. THEN TWR SAID; 'CONTINUE ACROSS RWY 32 AND CALL THE TWR ASAP ON THE PHONE.' I CALLED THE TWR. THE CTLR SAID SHE DID NOT CLR US ACROSS THE RWY; SHE CLRED ACFT Y ACROSS RWY 32 AT TXWY L. THERE WAS OTHER TFC IN THE VICINITY OF RWY 32 AT THE TIME (ACFT Y; A G-1; US. ACFT X; AND A METRO). WHILE CONTINUING OUR TAXI TO THE GATE; THE TWR EVEN CALLED US 'METRO X; CONTINUE TAXI;' WHICH WE CAUGHT AND VERIFIED. THE OBVIOUS PROB OF COURSE IS SIMILAR SOUNDING CALL SIGNS. THE FIX SEEMS TO ME TO BE USE OF COMPLETE CALL SIGNS BY BOTH PLTS AND CTLRS IN SUCH SITS. SUPPLEMENTAL INFO FROM ACN 637045: I READ BACK THE CLRNC AND WE HELD SHORT OF RWY 32. A MIN WENT BY AND TWR GAVE TAXI CLRNC; BOTH THE CAPT AND MYSELF HEARD 'ACFT X.' I READ BACK THE CLRNC AND WE PROCEEDED TO CROSS RWY 32. IT WASN'T UNTIL WE WERE 1/2 WAY ACROSS THE RWY BEFORE TWR RESPONDED 'THAT WAS FOR ACFT Y; NOT ACFT X.'