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Old 2014-04-10, 22:42   #18
Apr 2014

1258 Posts

The solution was there all along. Since we only care if the multiplicative order is less than 2^32, naive multiply and subtract can be performed up to 2^31 and if we still haven't hit -1, we know that the order is larger than 2^32. Although probably use some squared exponentiation techniques and operate in [-(p+1)/2,(p+1)/2) to speed it up. No factoring, no ridiculous bottleneck, but this algorithm isn't as parallelizable... I'll keep looking for better options
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