Cryptographic classification of quasigroups of order 4

摘要

Edon80 is a stream cipher design that had advanced to the third and last phase of the eSTREAM project. The core of the cipher consists quasigroup string e-transformations and it employs four quasigroups of order 4. The employed quasigroups have influence on the period of the key-stream. There are 576 quasigroups of order 4 in total which have the different period factors. In this paper, we discuss a cryptographic classification of quasigroups, and give a complete classification for the 576 quasigroups of order 4 according to the period factors.