A. D. Keedwell

TL;DR: Latin Squares and Their Applications Second edition offers a long-awaited update and reissue of this seminal account of the subject, which retains foundational, original material from the frequently-cited 1974 volume but is completely updated throughout.

TL;DR: A simple and flexible authentication scheme applicable for use with both binary and nonbinary messages and it is shown that, among the set of all possible messages of assigned length, all possible signatures occur with equal probability.

TL;DR: Let p be an odd prime which has 2 as a primitive root and let q be another odd prime of the form q=2ph+1, then the non-abelian group of order pq is sequenceable.

TL;DR: It is shown that the left, right and middle A-nuclei of an (r,s,t)-inverse quasigroup are isomorphic, and in the case of a loop, coincide.

TL;DR: The main result is that complete sets of q-1 latin squares can be constructed whose deficiency is less than or equal to q(q-1)^2 when q=10,12 (that is, it is approximately 18% of the total number of pairs).