FPGA implementation of humming bird cryptographic algorithm

[gouri arnav]

There is a permutation step [x xor (x<<6) xor (x<<10)] in the encryption process of hummingbird algorithm.I am not able to reverse this step.how to decrypt this?
[<< : left circular shift operator]

 

[mrflibble]

Some might argue that certain steps in crypto are hard to reverse on purpose. This might be one of those cases.

Case in point, without extra boundary conditions (i.e extra knowledge about the system) x xor (x<<6) xor (x<<10) might well be irreversible.

Edit: Did a quick check. I stand corrected by myself. It has an inverse.