Calculating 2 unknowns in mod 2^32 addition?

76 Views Asked by At

My question is fairly simple.

Given equation:

r = ( a + b + c ) mod m

Where m = 2^32, and values r and a are known values.

Assuming:

Edit:

b + c < m

Is it possible to calculate a specific value of b and c? I've been digging into the Euclidean Algorithm/CRT, but haven't found any relation of this form that would be useful. I can pretty easily calculate the value of b + c, but I fear I'm looking at a brick wall.

Any and all help/suggestions for further reading would greatly appreciated. Cheers!