Welcome to the resource topic for 2016/773
Title:
Alternative Implementations of Secure Real Numbers
Authors: Vassil Dimitrov, Liisi Kerik, Toomas Krips, Jaak Randmets, Jan Willemson
Abstract:This paper extends the choice available for secure real number implementations with two new contributions. We will consider the numbers represented in form a-\varphi b where \varphi is the golden ratio, and in form (-1)^s\cdot2^e where e is a fixed-point number. We develop basic arithmetic operations together with some frequently used elementary functions. All the operations are implemented and benchmarked on SHAREMIND secure multi-party computation framework. It turns out that the new proposals provide viable alternatives to standard floating- and fixed-point implementations from the performance/error viewpoint in various settings. However, the optimal choice still depends on the exact requirements of the numerical algorithm to be implemented.
ePrint: https://eprint.iacr.org/2016/773
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