Rabin fingerprint

Rabin fingerprint

The Rabin fingerprinting scheme is a method for implementing public key fingerprints using polynomials over a finite field.

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Given an "n"-bit message "m"0,...,"m"n-1, we view it as a polynomial of degree "n"-1 over the finite field GF(2).

: f(x) = m_0 + m_1 x + ldots + m_{n-1} x^{n-1}

We then pick a random irreducible polynomial "p(x)" of degree "k" over GF(2), and we define the fingerprint of "m" to be

: f(x) mod p(x)

which can be viewed as a polynomial of degree "k"-1 or as a "k"-bit number.

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