GitHub

Secret-Sharing-Polynomial-Solver-Using-Lagrange-Interpolation

This repository contains a C program that implements a simplified version of Shamir's Secret Sharing algorithm. The program reads input from a JSON file, decodes y values from different bases, and ...
GitHub

Message Encoding Using Lagrange Interpolation Over a Finite Field

Lagrange interpolation over a finite field is a powerful technique for encoding and reconstructing messages, particularly in cryptographic applications such as Shamir's Secret Sharing, Reed-Solomon ...
IEEE

The Lagrange interpolation polynomial algorithm error analysis

Abstract: Base on the Lagrange interpolation polynomial algorithm, the error analysis is discussed in this paper. Firstly, we derive the Lagrange interpolation ...
JSTOR Daily

On Asymptotics for the Uniform Norms of the Lagrange Interpolation Polynomials Corresponding to Extended Chebyshev Nodes

The existence of an asymptotic expansion is proved for the Lebesgue constants associated with the polynomial interpolation at the "extended Chebyshev nodes." This series is quite different from the ...
JSTOR Daily

On Bivariate Hermite Interpolation with Minimal Degree Polynomials

SIAM Journal on Numerical Analysis, Vol. 37, No. 3 (Feb. - Mar., 2000), pp. 772-798 (27 pages) A Newton-type approach is used to deal with bivariate polynomial Hermite interpolation problems when the ...