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- W4289655093 abstract "Secret sharing is a central topic in information-theoretical cryptography. In a secret sharing scheme a random secret is distributed among participants so that only the qualified subsets of parties can recover the secret. In this paper we improve previously known [13] lower bounds on the size of the largest share for several specific access structures. Our approach is based on non-Shannon-type information inequalities. We employ the linear programming (LP) technique that permits to apply new information inequalities indirectly. To reduce computational complexity of the involved linear programs we extensively use symmetry considerations." @default.
- W4289655093 created "2022-08-03" @default.
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- W4289655093 date "2022-06-26" @default.
- W4289655093 modified "2023-09-25" @default.
- W4289655093 title "Symmetries in Linear Programming for Information Inequalities" @default.
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- W4289655093 doi "https://doi.org/10.1109/isit50566.2022.9834471" @default.
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