NDLI: Secret sharing schemes based on additive codes over GF(4)

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Secret sharing schemes based on additive codes over GF(4)

Content Provider	Springer Nature Link
Author	Lee, Nari Kim, Jon Lark
Copyright Year	2016
Abstract	A secret sharing scheme (SSS) was introduced by Shamir in 1979 using polynomial interpolation. Later it turned out that it is equivalent to an SSS based on a Reed–Solomon code. SSSs based on linear codes have been studied by many researchers. However there is little research on SSSs based on additive codes. In this paper, we study SSSs based on additive codes over GF(4) and show that they require at least two steps of calculations to reveal the secret. We also define minimal access structures of SSSs from additive codes over GF(4) and describe SSSs using some interesting additive codes over GF(4) which contain generalized 2-designs.
Ending Page	97
Page Count	19
Starting Page	79
File Format	PDF
ISSN	09381279
e-ISSN	14320622
Journal	Applicable Algebra in Engineering, Communication and Computing
Issue Number	1
Volume Number	28
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-08-04
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Computer Hardware Artificial Intelligence (incl. Robotics) Access structure Additive codes Algebraic coding theory; cryptography Theory of Computation Secret sharing scheme Authentication and secret sharing Symbolic and Algebraic Manipulation Minimal access structure Generalized t-design
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Algebra and Number Theory

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