NDLI: Two matrices for Blakley's secret sharing scheme

Content Provider	IEEE Xplore Digital Library
Author	Xiali Hei Xiaojiang Du Binheng Song
Copyright Year	2012
Description	Author affiliation: Department of Computer and Information Sciences, Temple University, Philadelphia, PA 19122, USA (Xiali Hei; Xiaojiang Du) \|\| Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China (Binheng Song)
Abstract	The secret sharing scheme was invented by Adi Shamir and George Blakley independently in 1979. In a (k, n)-threshold linear secret sharing scheme, any k-out-of-n participants could recover the shared secret, and any less than k participants could not recover the secret. Shamir's secret sharing scheme is more popular than Blakley's even though the former is more complex than the latter. The reason is that Blakley's scheme lacks determined, general and suitable matrices. In this paper, we present two matrices that can be used for Blakley's secret sharing system. Compared with the Vandermonde matrix used by Shamir's scheme, the elements in these matrices increase slowly. Furthermore, we formulate the optimal matrix problem and find the lower bound of the minimal maximized element for k=2 and upper bound of the minimal maximized element of matrix for given k.
Starting Page	810
Ending Page	814
File Size	159094
Page Count	5
File Format	PDF
ISBN	9781457720529
ISSN	15503607
e-ISBN	9781457720536
e-ISBN	9781457720512
DOI	10.1109/ICC.2012.6364198
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-06-10
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Vectors Cryptography Polynomials Linear systems Upper bound Computers Pascal matrix linear threshold cryptography linear secret sharing
Content Type	Text
Resource Type	Article

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