Information security, coding theory and related combinatorics

Crypto applications of combinatorial group theory. Generating rooted trees of nodes uniformly at random. Designs, strongly regular graphs and codes constructed from some primitive groups. Quantum jump codes and some related combinatorial designs.

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  • Rule of formation of positional structural and weight numbers with variable length that provides potential for implementation of the principle of a codes formation on the code word’s maximum filling of the given length in the conditions of an exception.

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