Igor E. Shparlinski

Lower bounds are obtained on the degree and the number of monomials of

Boolean functions, considered as a polynomial over $GF(2)$,

which decide if a given $r$-bit integer is square-free.

Similar lower bounds are also obtained for polynomials

over the reals which provide a threshold representation

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Craig Gentry, Charanjit Jutla

We describe obfuscation schemes for matrix-product branching programs that are purely algebraic and employ matrix algebra and tensor algebra over a finite field. In contrast to the obfuscation schemes of Garg et al (SICOM 2016) which were based on multilinear maps, these schemes do not use noisy encodings. We prove ... more >>>