In this project, Karatsuba algorithm for polynomial multiplication is synthesized and simulated in Xilinx Vivado 2019.2 using verilog HDL. Folders and Files info: KA_2bit: KA_2bit.v KA_4bit: KA_2bit.v ...

Abstract: A method for polynomial multiplication over finite fields using field extensions and polynomial interpolation is introduced. The proposed method uses polynomial interpolation as Toom-Cook ...

Abstract: High-speed long polynomial multiplication is important for applications in homomorphic encryption (HE) and lattice-based cryptosystems. This paper addresses low-latency hardware ...

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

Program to compute the product of two randomly generated univariate polynomials of the same degree, with maximum degree being 1023 (2^10). Degree of polynomials is based on user input. You can think ...

Asymptotically Fast Polynomial Multiplication In this video, our recent Mathematics and Computer science graduate Will Cashman talks about fast methods of polynomial multiplication - what it is, why ...