[Resource Topic] 2003/158: A Sufficient Condition and Optimal Domain Extension of UOWHF

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Title:
A Sufficient Condition and Optimal Domain Extension of UOWHF

Authors: Mridul Nandi

Abstract:

Here, we present how one can extend domain of a given Hash Family. We will give a sufficient condition for UOWHF-preserving domain extension (the extended Hash Family is UOWHF whenever the base Hash Family is UOWHF). We present also a binary tree based parallel algorithm for extending the domain of a UOWHF whose key-length expansion is optimum in a sub-class of binary tree based domain extension algorithm. We will show the optimality under an assumption.

ePrint: https://eprint.iacr.org/2003/158

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