A CARGO B727 PIC 'DUCKS UNDER' THE PAPI VISUAL GS AND LANDS SHORT OF THE RWY AT EGNX; FO.

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THE NOTAMS AVAILABLE WERE NOT VERY CLR WHAT TO EXPECT AT DEST. THE COMPANY DISPATCHED US TO AN ARPT THAT WAS OPERATING UNDER SPECIAL PROCS. EAST MIDLANDS ARPT (EMA) HAD ALL BUT 1600 METERS OF RWY 27 CLOSED FOR RWY WORK. WE WERE NOTIFIED OF THIS WHEN WE CONTACTED APCH UPON DSCNT. WE DETERMINED WE WERE ABLE TO LAND ON THAT LENGTH OF RWY. WE MADE A NORMAL APCH TO RWY 27 USING NDB APCH (ALL OTHER APCHS NOT AVAILABLE; OTS). WE USED PAPI TO MAINTAIN GS. ON SHORT FINAL WITH SUCH A SHORT RWY; WE WENT BELOW GS (1 LIGHT). WE CROSSED THE THRESHOLD ABOUT 50 FT; AND ABOUT 20 FT STARTED PULLING PWR BACK. WE HAD A PAUSE IN THE WIND AND THE ACFT DSNDED ABRUPTLY. WE PULLED BACK ON THE YOKE AND ARRESTED MOST OF THE DSCNT; TOUCHING DOWN HARDER THAN NORMAL; BUT NOT TOO HARD. WE TAXIED IN AND PARKED; SECURED THE ACFT; AND WENT TO THE HOTEL. APPROX 2 HRS LATER THE ARPT AUTH INFORMED ME AT MY HOTEL WE ALLEGEDLY LANDED 100-150 METERS SHORT AND DESTROYED A LIGHT AND MOVED SOME SAND BAGS. THE COMPANY SHOULD NEVER HAVE DISPATCHED US TO THAT ARPT AT THAT TIME (DURING NIGHTTIME FULL LENGTH OF RWY IS AVAILABLE). WE SHOULD HAVE CONTACTED THE COMPANY WITH INFO ON RWY LENGTH. WE SHOULD HAVE STAYED ON NORMAL GLIDE PATH. WE SHOULD HAVE LEFT PWR ON UNTIL AT TOUCHDOWN. THE REST PERIOD IS NON EXISTENT ON OUR 24 HR RESERVE STATUS; WE DON'T KNOW WHEN TO REST. CREW LACK OF SLEEP CONTRIBUTING FACTOR. THE NOTAMS WERE UNCLR ABOUT WHAT TO EXPECT AT OUR DEST. THEY REFED THE COUNTRY'S OWN NOTAM BOOKS WHICH NO COMPANIES SUBSCRIBE TO IF THEY ONLY FLY INTO AND OUT OF THAT COUNTRY. IF THE COMPANY'S CERTIFICATE IS OBTAINED UNDER THEIR JURISDICTION; THEN THE COMPANY SUBSCRIBES TO THEIR BOOKS.