Title :
Secret-sharing schemes based on self-dual codes
Author :
Dougherty, Steven T. ; Mesnager, Sihem ; Solé, Patrick
Author_Institution :
Dept. of Math., Scranton Univ., Scranton, PA
Abstract :
Secret sharing is an important topic in cryptography and has applications in information security. We use self-dual codes to construct secret-sharing schemes. We use combinatorial properties and invariant theory to understand the access structure of these secret-sharing schemes. We describe two techniques to determine the access structure of the scheme, the first arising from design properties in codes and the second from the Jacobi weight enumerator, and invariant theory.
Keywords :
combinatorial mathematics; cryptography; dual codes; security of data; Jacobi weight enumerator; combinatorial properties; cryptography; information security; invariant theory; secret-sharing scheme; self-dual code; Cryptography; Galois fields; Hamming weight; Information security; Jacobian matrices; Linear code; Mathematics; Optical wavelength conversion; Polynomials; Vectors;
Conference_Titel :
Information Theory Workshop, 2008. ITW '08. IEEE
Conference_Location :
Porto
Print_ISBN :
978-1-4244-2269-2
Electronic_ISBN :
978-1-4244-2271-5
DOI :
10.1109/ITW.2008.4578681
