Concurrent A-BA Ideal Functionality‌ Sample Clauses

Concurrent A-BA Ideal Functionality‌. − Concurrent A-BA, as the name suggests, refers to a primitive that enables parties to solve N instances of A-BA concurrently. We are primarily interested in the case N = n, corresponding to the emulation of an ideal A-BA primitive, but we study the more general version. In this setting, each party Pi initiates the concurrent A-BA by providing N values, namely vi,1, . . . , vi,N . Subsequently, all parties receive the same set of N output values, denoted as y1, . . . , yN . Each individual output value yj is computed based on the input values v1,j, . . . , vn,j, following the prescribed procedure outlined in the standard A-BA primitive. Specifically, if n 2t input values are identical, that common value is selected as the output; otherwise, the output is determined by the adversary. We capture the task of concurrent A-BA using the ideal functionality Fconc-a-ba, shown in Figure 7.
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