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Title:
A New Multi-Linear Universal Hash Family
Authors: Palash Sarkar
Abstract:A new universal hash family is described. Messages are sequences over a finite field \rF_q while keys are sequences over an extension field \rF_{q^n}. A linear map \psi from \rF_{q^n} to itself is used to compute the output digest. Of special interest is the case q=2. For this case, we show that there is an efficient way to implement \psi using a tower field representation of \rF_{q^n}. From a practical point of view, the focus of our constructions is small hardware and other resource constrained applications. For such platforms, our constructions compare favourably to previous work.
ePrint: https://eprint.iacr.org/2008/216
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