Given an n-degree polynomial fx over an arbitrary ring, the shift of fx by c is the operation which computes coefficients of the polynomial fx + c. In this paper we conside...
Formalized study of self-assembly has led to the definition of the tile assembly model, Previously I presented ways to compute arithmetic functions, such as addition and multiplic...
In this paper, we address the following problem: given a synchronous digital circuit, is it possible to construct a new circuit computing the same function as the original one but...
We analyse and compare the complexity of several algorithms for computing modular polynomials. We show that an algorithm relying on floating point evaluation of modular functions...
Polynomial identity testing (PIT) problem is known to be challenging even for constant depth arithmetic circuits. In this work, we study the complexity of two special but natural ...