16 bit crc

Is it reflected and non-reflected? Correctly used they will give the same result.

In written form you could just use the CRC polynomial, such as CRC-16: x^16 + x^15 + x^2 + 1

I couldn't quite read your diagram, but perhaps you are describing a reciprocal polynomial, which has all of the coefficients reversed. It's just as strong as the original but the output has the reverse bit order. From my example, it'd be x^16 + x^14 + x^1 + 1.