Open Problems Sample Clauses

Open Problems. Our results leave a number of very exciting open problems. ·
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Open Problems. The communication complexity of Optimal-ABA shows that the protocol is com- munication optimal for sufficiently large A and the bound on A depends on the communication complexity of the underlying ABA and AVSS protocols. One may try to design communication optimal ABA protocol for all values of A (if possible) using completely different approach. References
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Open Problems. An important open question is to investigate whether multi-valued communi- cation optimal protocols can be achieved with less number of invocations to protocols for single bit in comparison to what we provide in this paper. Æeferences [ADH08] X. Xxxxxxx, X. Xxxxx, and X. X. Xxxxxxx. An almost-surely terminating polynomial protocol for asynchronous Byzantine Agreement with optimal resilience. In PODC, pages 40†–414. ACM Press, 2008. [BGP09] X. Xxxxxx, G. A. Xxxxx, and X. X. Xxxxx. Bit optimal distributed consensus. In Computer Science Research, 2009. [BKR94] X. XxxXx, X. Xxxxxx, and X. Xxxxx. Asynchronous secure computations with optimal resilience. In PODC, pages 183–192. ACM Press, 1994. [BO83] M. Ben-Or. Another advantage of free choice: Completely asynchronous agreement protocols. In PODC, pages 2k–30. ACM Press, 1983. [BOCG93] X. Xxx-Or, X. Xxxxxxx, and X. Xxxxxxxxx. Asynchronous Secure Compu- tation. In STOC, pages †2–61. ACM Press, 1993. [BOGW88] M. Ben-Or, X. Xxxxxxxxxx, and X. Xxxxxxxxx. Completeness theorems for non-cryptographic fault-tolerant distributed computation (extended ab- stract). In STOC, pages 1–10. ACM Press, 1988. [Bra84] X. Xxxxxx. An asynchronous |(ı — 1)ƒ3∫-resilient consensus protocol. In PODC, pages 1†4 – 162. ACM Press, 1984. [BTH06] Z. Beerliov´a-Trub´ıniov´a and X. Xxxx. Efficient multi-party computation with dispute control. In TCC, LNCS 38k6, pages 30†–328, 2006. [Can9†] X. Xxxxxxx. Sfudses sn Secuve Mu1fspavfy Compufafson and App1scafsons. PhD thesis, Weizmann Institute, Israel, 199†. [CGMA8†] B. Chor, X. Xxxxxxxxxx, X. Xxxxxx, and X. Xxxxxxxx. Verifiable secret shar- ing and achieving simultaneity in the presence of faults (extended abstract). In STOC, pages 383–39†. ACM Press, 198†. [CR93] X. Xxxxxxx and X. Xxxxx. Fast asynchronous Byzantine Agreement with optimal resilience. In STOC, pages 42–†1. ACM Press, 1993. [CW92] X. X. Xxxx and X. X. Xxxxx. Modular construction of a Byzantine Agree- ment protocol with optimal message bit complexity. Infovmafson and Com− pufafson, 9k(1):61–8†, 1992. [DR8†] X. Xxxxx and X. Xxxxxxxx. Bounds on information exchange for Byzantine Agreement. JACM, 32(1):191–204, 198†. [FH06] X. Xxxxx and X. Xxxx. Optimally Efficient Multi-valued Byzantine Agree- ment. In PODC, pages 163–168, 2006. [FLP8†] X. X. Xxxxxxx, X. X. Xxxxx, and X. Xxxxxxxx. Impossibility of distributed consensus with one faulty process. JACM, 32(2):3k4–382, 198†. [FM88] X. Xxxxxxx and X. Xxxxxx. An Optimal Algorithm for Synchr...
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