Construction of strongly aperiodic logarithmic signatures.

The aim of the paper is to present a general construction of strongly aperiodic logarithmic signatures (SALS) for elementary abelian <italic>p</italic>-groups.Their existence significantly extends the classes of tame logarithmic signatures which are used for the cryptosystem MST 3 {\mathrm{MST}_{3}}.They have particular characteristics that do not share with the well-known classes of transversal or fused transversal logarithmic signatures, and therefore they will play a vital role for logarithmic signature based cryptosystems in practice.In theory, the construction of SALS is interesting in its own right as well. [ABSTRACT FROM AUTHOR]