Polynomial Multiplication: The process of computing the product of two polynomials, often using specialised techniques to reduce the computational complexity, particularly in the context of large ...

Number theoretic transform (NTT) is widely recognized as the most efficient method for computing polynomial multiplication with high dimension and integral coefficients, due to its quasilinear ...

I observed an Algebra class recently where students were trying to multiply two polynomials, (x + 5) and (3x2 - 5x - 4). And as I roamed the room, I noticed several students who were stuck because ...

They apply GSR-NTT to accelerate polynomial multiplication in the lattice-based scheme named NTTRU and single polynomial multiplication over power-of-three cyclotomic polynomial rings.

Polynomial Multiplication, and Polynomial Addition and Subtraction, will be coming out in the near future. I can't recommend Esa's math apps enough.

It can be rewritten as: where the H subscript means Horner. Using this method to computepolynomials: 1) reduces the number ofnecessary multiply operations, and 2) is straightforward toimplement using ...

This is a second course in Computer Algebra where we will see some key algorithms and tools. Students will use Maple as an algebraic calculator and to implement algorithms. Students will do a course ...

[2] Faster polynomial multiplication over finite fields using cyclotomic coefficient rings. Journal of Complexity (2019). [3] Deterministic root finding over finite fields using Graeffe transforms.