Journal of Combinatorial Designs 2, 6 (1994) 375-406.
The cryptographical theory of unconditional secrecy and authentication is based on designlike structures called perpendicular arrays in the combinatorial literature. In order to meet the cryptographical requirements some additional and rather general homogeneity conditions have to be statisfied. We develop a theory of those structures. Topics include bounds on the size, recursive and direct constructions using designs and permutation groups, as well as a link to Room cubes.
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