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August  2014, 8(3): 343-358. doi: 10.3934/amc.2014.8.343

## A general construction for monoid-based knapsack protocols

 1 Institut für Mathematik, Winterthurerstrasse 190, Zürich, CH8057, Switzerland, Switzerland

Received  November 2013 Revised  February 2014 Published  August 2014

We present a generalized version of the knapsack protocol proposed by D. Naccache and J. Stern at the Proceedings of Eurocrypt (1997). Our new framework will allow the construction of other knapsack protocols having similar security features. We will outline a very concrete example of a new protocol using extension fields of a finite field of small characteristic instead of the prime field $\mathbb{Z}/p\mathbb{Z}$, but more efficient in terms of computational costs for asymptotically equal information rate and similar key size.
Citation: Giacomo Micheli, Michele Schiavina. A general construction for monoid-based knapsack protocols. Advances in Mathematics of Communications, 2014, 8 (3) : 343-358. doi: 10.3934/amc.2014.8.343
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