Bevz O. Cipher methods based on high nonlinear boolean functions and the maximal distance codes

Object of the research - the process of handling and transforming the data for the defence information for the computing systems and networks. Aim of research - increasing the effectiveness defence information for computing system and networks, which based on design the new methods and the tools of ciphering. Methods of research: theory algebraic coding, theory probability, abstract algebra, linear algebra. Scientific novelty of the reception result - proposal the new approach to the forming eight arguments maximal nonlinear boolean function, which difference for a present, have balancing, to permit improvement the statical property cipher; proposal the new method to forming the block cipher for computing systems and networks, which difference for a present, to have cryptographic security S-boxes, due to differential and nonlinear property increasing effectiveness resistance to the cryptoanalys and the rate of the ciphering; for the first time designing the method to form the stream cipher, basedon the linear feedback shift register, which difference for a present, to have a filter-function as the maximal nonlinear balance boolean function, and to possessed of low the computational complexity, simplicity hardware and the high cryptographic property; further development of the method computation of S-box, which difference for a present, to have the high rate of work, due to use the table substitution; improving the method to forming of linear transformation, which difference for a present to have high effectiveness the ciphering to 1,5 value, due to effective use concatenation the code maximal distance on high and low level of the linear transformation. Practical sense of the received results consist of design the strategy defence guarding based on realization the block cipher for the computing systems and networks; creation the algorithm and the program tools for a effective guarding; designing the algorithm of the procedure forming S-box, the algorithm of the table substitution the procedure creation S-box; designing the algorithm of the table realization the forming the substitution-permutation network. Degree of embedding is allocation by bounding branch. Branch of application - systems of control and systems of transfer information.