One of the most popular current trends in cryptography is the research for new approaches for designing cryptographic primitives. Using the algebraic structures for constructing such primitives is studied by many researches. Our investigation is focused on finding ternary quasigroups with good properties for designing cryptographic primitives. In this paper we define ternary quasigroup transformations for encryption and decryption and show that these transformations are applicable in cryptography for cryptosystems based on quasigroups.
ternary quasigroups, e,t,f-transformation, d,t,f-transformation