A player might lie about his own share to gain access to other shares. A verifiable secret sharing (VSS) scheme allows players to be certain that no other players are lying about the contents of their shares, up to a reasonable probability of error. Such schemes cannot be computed conventionally; the players must collectively add and multiply numbers without any individual's knowing what exactly is being added and multiplied. Tal Rabin and Michael Ben-Or devised a multiparty computing (MPC) system that allows players to detect dishonesty on the part of the dealer or on part of up to one third of the threshold number of players, even if those players are coordinated by an "adaptive" attacker who can change strategies in realtime depending on what information has been revealed.
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Famous quotes containing the words verifiable, secret and/or sharing:
“The entire construct of the “medical model” of “mental illness”Mwhat is it but an analogy? Between physical medicine and psychiatry: the mind is said to be subject to disease in the same manner as the body. But whereas in physical medicine there are verifiable physiological proofs—in damaged or affected tissue, bacteria, inflammation, cellular irregularity—in mental illness alleged socially unacceptable behavior is taken as a symptom, even as proof, of pathology.”
—Kate Millett (b. 1934)
“I do the wrong, and first begin to brawl.
The secret mischiefs that I set abroach
I lay unto the grievous charge of others.”
—William Shakespeare (1564–1616)
“I go for all sharing the privileges of the government, who assist in bearing its burthens.”
—Abraham Lincoln (1809–1865)