Modeling of selective galois counter mode with rapid generation of galois message authentication code

This article discusses the selective Galois counter mode with rapid generation of Galois message authentication code (Galois/Counter Mode and GMAC-GCM & GMAC). Specification of this coding mode is presented in NIST SP 800-38D. This coding mode is designed for realization of rapid cryptotransformation in providing information security services using different cryptographic primitives, such as polynomial hashing, counter and other. Using of proposed coding mode ensures the integrity and confidentiality of information. The article developed a reduced model of the mode. Reduced model preserves the algebraic structure of all main cryptotransformations by their scaling. Developed reduced model will use for experimental studies of collision properties of generated message authentication codes using the methods of statistical testing of hypotheses and mathematical statistics. This article discusses practical examples of cryptoprimitives and cryptotransformations.