Brief Announcement: Robust and Scalable Renaming with Subquadratic Bits

In the renaming problem, a set of n nodes, each with a unique identity from a large namespace [N], needs to obtain new unique identities in a smaller namespace [M]. A renaming algorithm is strong if M = n. There exist many time-efficient solutions for fault-tolerant renaming in synchronous message-passing systems. However, all previous algorithms send Ω(n2) messages, and many of them also send large messages each containing Ω(n) bits. Moreover, most algorithms' performance do not scale with the actual number of failures. These limitations restrict their practical performance.