Nesterenko O. The methods and means of synthesizing the stream ciphering operations on the criterion of strict stable coding

The thesis is devoted to increasing the uncertainty of the stream ciphering results due to the use of new cryptographic transformations’ operations synthesized by the criterion of strict stable coding. For this purpose, a method for synthesizing the operations by the criterion of strict stable coding has been developed for the first time, using the Hamming minimum distances tables, which provide the maximum uncertainty of the transformation’s results and increase the variability of cryptographic algorithms. The method for synthesizing operations by the criterion of strict stable coding of minimal complexity is developed, based on the use of permutation and subdued operations, by the established limitations and relationships between transformation operations and the tables of Hamming minimum distances, which provide the maximum uncertainty of the transformation results with the minimal complexity of the circuit-technical and program implementation. Further development methods for the synthesis of software and hardware cryptographic means of computer technology is done on the basis of the use of a new group of operations built on the criterion of strictly stable coding, by applying the methods of synthesis of models of operations with new properties, which provided simplification of synthesis. The synthesis of operations models according to the criterion of strictly stable encoding of minimal complexity is realized without the construction of tables of truth and their minimization