brain teaser

[Git]

Given this set of numbers :

i num
0 FCDE 1111 1100 1101 1110
1 4873 0100 1000 0111 0011
2 3809 0011 1000 0000 1001
3 8BC3 1000 1011 1100 0011
4 E9E8 1110 1001 1110 1000
5 D20E 1101 0010 0000 1110
6 FFD8 1111 1111 1101 1000
7 B552 1011 0101 0101 0010
8 E469 1110 0100 0110 1001
9 0423 0000 0100 0010 0011
A 0C77 0000 1100 0111 0111
B FDF2 1111 1101 1111 0010
C CE96 1100 1110 1001 0110
D C28F 1100 0010 1000 1111
E 72B4 0111 0010 1011 0100
F 0AED 0000 1010 1110 1101

Can anybody see how 'num' is generated from it's index position 'i', some constants (probably 16bit), maybe other table values(like the previous entry e.g.) and binary operators xor, ror, and, etc. Data is given in hex and binary for convenience.

I can't offer any reward, other than a mention in the credits in the free utility which needs this algo!.

Git