IJPAM: Volume 85, No. 5 (2013)

SECURE SCHEMES FOR SECRET SHARING AND
KEY DISTRIBUTION USING PELL'S EQUATION

P. Muralikrishna1, S. Srinivasan2, N. Chandramowliswaran3
1,2School of Advanced Sciences
VIT University
Vellore, 632014, Tamilnadu. INDIA
3Visiting Faculty
Indian Institute of Management Indore
Indore, 453 331, INDIA


Abstract. A key distribution scheme for dynamic conferences is a method by which initially an trusted server distributes private individual pieces of information to a set of users. Later each member of any group of users of given size can compute a common secure group key. In this setting any group of t users can compute a common key by each user computing using only his private initial piece of information and the identities of the other t-1 users in the group. Keys are secure against coalition of to k users, that is, even if k users pool together their pieces they cannot compute anything about a key of any t-size conference comprised of other users. In this paper, we introduce an algorithm for such perfectly secure scheme by using Pell's equation.

Received: April 15, 2013

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DOI: 10.12732/ijpam.v85i5.11 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 85
Issue: 5