Strongly aperiodic logarithmic signatures

Logarithmic signatures for finite groups are the essential constituent of public key cryptosystems MST1 and MST3. Especially they form the main component of the private key of MST3. Constructing new classes of logarithmic signatures having features that do not share with the well-known class of transversal or fused transversal logarithmic signatures, has become a vital issue regarding the use of MST3. For this purpose Baumeister and de Wiljes recently present an interesting method of constructing aperiodic logarithmic signatures for abelian groups. In this paper we introduce the concept of strongly aperiodic logarithmic signatures and show their constructions for abelian p-groups on the basis of the Baumeister-de Wiljes method.