In this note, we use lower bounds on Boolean multiplicative complexity to prove lower bounds on Boolean circuit complexity. We give a very simple proof of a 7n/3 − c lower bound ...
In this paper we give new extremal bounds on polynomial threshold function (PTF) representations of Boolean functions. Our results include the following: • Almost every Boolean ...
Abstract. Given an algebraic geometry code CL(D, P), the GuruswamiSudan algorithm produces a list of all codewords in CL(D, P) within a specified distance of a received word. The i...
Multivariate resultants generalize the Sylvester resultant of two polynomials and characterize the solvability of a polynomial system. They also reduce the computation of all comm...
This paper examines the hardware implementation trade-offs when evaluating functions via piecewise polynomial approximations and interpolations for precisions of up to 24 bits. In ...
Dong-U Lee, Ray C. C. Cheung, Wayne Luk, John D. V...