TAXI CLRNC CONFUSION.

Narrative

THE CAPT FLEW AN ILS APCH TO RWY 30 AT LGB. THERE WAS A SMALL ACFT ON APCH BEHIND US; AND ANOTHER SMALL ACFT ON APCH TO RWY 25R. RWY 30 HAS A DISPLACED THRESHOLD WITH 8010 FT AVAILABLE BEYOND THE THRESHOLD. AFTER TOUCHDOWN THE TWR (LCL CTLR) INSTRUCTED US TO 'TURN L AT KILO; CONTACT GND.' SHE THEN ADDED WHAT SOUNDED LIKE 'KILO IS JUST SOUTH OF THE WINDSOCK.' THE COPLT HAD THE ARPT CHART OUT; AND SAW THE TXWY SIGN FOR KILO JUST S OF THE WINDSOCK. THE ARROW ON THE KILO SIGN APPEARED TO POINT TO THE IMMEDIATE L. THE CAPT TURNED L JUST PRIOR TO THE WINDSOCK. THE COPLT CALLED GND CTLR AND RPTED CLR OF THE RWY AT KILO. GND CTL TOLD US WE HAD TURNED L ONTO RWY 16R WHICH IS NOT STRESSED FOR LARGE ACFT. HE TOLD US TO TURN L ON DELTA. THE CREW HAD NOT SEEN A RWY SIGN FOR RWY 16R AND IT WAS AN INACTIVE RWY. ON THE ARPT CHART THERE IS NO MARKING FOR KILO ON THE W SIDE OF RWY 30; AND THE PLACEMENT OF THE KILO TXWY SIGN WAS CONFUSING. ALSO THERE IS NO NOTATION ON 10-9 OR 10-10 CHARTS ABOUT RWY 16R BEING WT RESTR FOR TAXI. IT WOULD ALSO HAD BEEN CLRER WHERE KILO WAS IF CTLR HAD SAID 'SECOND L TURN.'