Title :
A Secret Sharing Scheme via Skew Polynomials
Author_Institution :
Dept. of Math., Univ. of Manitoba, Winnipeg, MB, Canada
Abstract :
In this paper we first define and discuss the Newton and Lagrange interpolations for a class of non-commutative polynomials called skew polynomials, and then use them to construct Shamir´s secret sharing schemes.
Keywords :
cryptography; interpolation; polynomial approximation; Lagrange interpolation; Newton interpolation; Shamir secret sharing schemes; noncommutative polynomials; skew polynomials; Additives; Algebra; Cryptography; Galois fields; History; Interpolation; Lagrangian functions; Mathematics; Modules (abstract algebra); Polynomials; Newton and Lagrange interpolations; Secret sharing; Skew polynomials;
Conference_Titel :
Computational Science and Its Applications (ICCSA), 2010 International Conference on
Conference_Location :
Fukuoka
Print_ISBN :
978-0-7695-3999-7
Electronic_ISBN :
978-1-4244-6462-3
DOI :
10.1109/ICCSA.2010.32
