Galois field

Багатовимірні моделі систем кодування на симетричних та асиметричних групах

This paper belongs to the field of systems engineering and is aimed at improving the qualitative indices of information technologies or systems with multidimensional characteristics (e.g. vector data coding design) with respect to reliability, precision and other significant operating characteristics of the systems based on the combinatorial configurations theory, namely the principle of optimal cyclic proportions (OCP).

Codes of spatial symmetric-asymmetric sets

It is shown possibility for application a new class of spatial sets using multidimensional symmetrical and non-symmetrical combinatorial configurations "Ideal Ring Bundles" (IRB)s for vector data coding with minimal number of the digit weights.  Mutual connection theory of the symmetrical and asymmetrical sets with algebraic structures in Galois fields is developed.