[Resource Topic] 2022/091: The multiplicative complexity of interval checking

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Title:
The multiplicative complexity of interval checking

Authors: Thomas Häner, Mathias Soeken

Abstract:

We determine the exact AND-gate cost of checking if a\leq x < b, where a and b are constant integers. Perhaps surprisingly, we find that the cost of interval checking never exceeds that of a single comparison and, in some cases, it is even lower.

ePrint: https://eprint.iacr.org/2022/091

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