2008/09/17 by Jessica Ruth Metcalf-Burton, Metcalf-Burton, Jessica Ruth
Computer Science · #Cryptography and Data Security #Chaos-based Image/Signal Encryption #Quantum Computing Algorithms and Architecture
paper · pdf · doi:10.48550/arxiv.0809.3010
An access structure specifying the qualified sets of a secret sharing scheme must have information rate less than or equal to one. The Vamos matroid induces two non-isomorphic access structures V1 and V6, which were shown by Marti-Farre and Padro to have information rates of at least 3/4. Beimel, Livne, and Padro showed that the information rates of V1 and V6 are bounded above by 10/11 and 9/10 respectively. Here we improve those upper bounds to 19/21 for V1 and 17/19 for V6.