Abstract
The complexity of the algorithm of communication of the system of linear levels with open regular parts by means of list decoding of "shortened" codes of reed painters which are intended for use in methods of an estimation of functional safety of cryptographic algorithms of cryptographic subsystems of the guaranteed automated systems creating on objects of critical infrastructure and socially important objects. This paper proposes solving problems to assess the complexity of the proposed algorithm. As a result, the upper estimates of the average labor productivity for the general case and the maximum complexity of the proposed algorithm for many special reviews related to the restoration of the formed linear results of the maximum period over a field of two elements. The achievable upper part of the list, which is formed using the proposed algorithm, is also indicated. The obtained results indicate that with certain collaborations between the parameters of the previously proposed algorithm, the time complexity was changed in comparison with the previously known deterministic algorithm for a similar purpose, which is based on the fast Hadamara transformation. This means that a more effective tool can be used to assess the impact of cryptographic subsystems on powerful cyberattacks to obtain a more accurate assessment of their functional security.

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