| Title | QUASIGROUPS CONSTRUCTED FROM COMPLETE MAPPINGS OF A GROUP (Zn 2,⊕) |
| Author/s | Aleksandra Mileva, Vesna Dimitrova |
| Citation | A. Mileva and V. Dimitrova, "QUASIGROUPS CONSTRUCTED FROM COMPLETE MAPPINGS OF A GROUP (Zn 2,⊕)", Contributions, Sec. Math. Tech. Sci., MASA, ISSN 0351–3246, Vol. 30, no.1-2, 2009, pp.75-93. |
| Abstract |
The quasigroups constructed from complete mappings of a group (Zn 2, ⊕) in a term of their properties like: satisfying the associative, commutative and idempotent law, having proper subquasigroups, having left or right unit, their representation with ANF, their prop ratio tables and correlation matrices and satisfying some other identities are examined in this paper. This is important for their applicability in cryptography, coding theory and other fields. As an example, we give quasigroups constructed from 384 complete mappings of a group (Z3 2, ⊕). |
| Keywords | quasigroup; complete mapping; TA-quasigroup |
