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 ...
Abstract: This paper presents several modifications of the decoding algorithm for Reed Solomon codes based upon Lagrange Interpolation. One modification reduces the average number of candidate code ...
Abstract: In this paper we first give the Lagrange interpolation polynomials in rings of matrices over finite fields and propose a new secret sharing scheme similar to Shamir's secret sharing scheme ...
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