International Association
for Cryptologic Research

Given a network of n = 2^k

gossipers, we want to schedule a cyclic calendar

of meetings between all of them, such that: (1) each gossiper communicates

(gossips) only once a day, with one other gossiper, (2) in every (n 1) consecutive

days, each gossiper meets all other gossipers, and (3) every gossip, initiated by

any gossiper, will reach all gossipers within k = log(n) days.

In this paper we study the above stated meet-all gossipers problem, by den-ing and constructing the Gossip Latin Square (GLS), a combinatorial structure

which solves the problem.