Abstract: We propose a new number representation and arithmetic for the elements of the ring of integers modulo p. The so-called polynomial modular number system (PMNS) allows for fast polynomial ...

A univariate, sparse, generic polynomial arithmetic library. That is, a polynomial in only one indeterminate, X, that only tracks terms with non-zero coefficients. C# 11/.NET 7 - This version of my ...

The computations of polynomials (over a field, which we shall throughout assume is of zero or large enough characteristic) using arithmetic operations of addition and multiplication (and possibly ...

This project implements a set of functionalities to manipulate polynomials using linked lists in C. The operations include creating, displaying, evaluating, deriving, and performing arithmetic ...

Formal verification of arithmetic circuits is a rigorous approach that employs mathematical techniques to ascertain the correctness of hardware designs implementing arithmetic operations. This ...

The main point of this survey is that one can learn a great deal about the structure and complexity of polynomials by studying (some of) their partial derivatives. The bulk of the survey shows that ...

Abstract: We propose a new number representation and arithmetic for the elements of the ring of integers modulo p. The so-called polynomial modular number system (PMNS) allows for fast polynomial ...