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Both curves have similar form and primes close to powers of two ($2^{192}-2^{64}-1$ and $2^{224} - 2^{96} + 1$), so you wouldn't expect large differences in performance – all things equal, P-224 might be anywhere from 30% to 60% slower due to the computational scaling of curve operations. However, in practice different implementations will have different ...


Just compute the multiplicative inverse $k^{-1}$ of $k$ modulo the prime order $n$ of the base point $G$ (I used the typical notation for the domain parameters of the curve). This can efficiently be done using extended Euclid and should be available in any reasonable big integer library (typically something like modinverse). Thats it.

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