Algorithms for polynomial computation over finite fields form a crucial domain in computational mathematics, with extensive applications ranging from cryptography and ...

The FFT multiplication method excels at efficiently multiplying large polynomials, becoming significantly faster than the direct method as polynomial degrees increase, despite its overhead for smaller ...

Abstract: Polynomial multiplication is widely used in communication, signal and image processing. In practical application, the system often needs to process a large amount of data efficiently and ...

Abstract: The Nth-degree truncated polynomial ring units (NTRUs)-based postquantum cryptography (PQC) has drawn significant attention from the research communities, e.g., the National Institute of ...

Polynomial Class in Python: A Python implementation of a Polynomial class that supports addition, subtraction, multiplication by a number, evaluation for specific values, and a human-readable string ...

ABSTRACT: Substitution boxes or S-boxes play a significant role in encryption and de-cryption of bit level plaintext and cipher-text respectively. Irreducible Poly-nomials (IPs) have been used to ...

I observed an Algebra class recently where students were trying to multiply two polynomials, (x + 5) and (3x 2 - 5x - 4). And as I roamed the room, I noticed several students who were stuck because ...