Secret distribution is one of the key areas of modern cryptography, which is becoming increasingly important due to the exponential growth of information transmitted, stored, and processed in digital systems. From social networks to medical databases, information is a reflection of our reality in the digital world. This dynamic is accompanied by numerous challenges related to ensuring the confidentiality, integrity, and availability of data, requiring new cryptographic approaches. Secret sharing methods are becoming an important alternative to traditional cryptography methods, as they allow for the confidentiality, reliability, and availability of information by distributing it among multiple participants so that data recovery requires the participation of a certain number of parties. Key examples of such schemes include the Shamir scheme, the Blackley scheme, methods based on digital signal processing, and the Chinese residual theorem. Shamir's scheme is based on polynomials that are shared among the participants, and to recover the secret, a certain number of shares must be collected (the number is determined in advance). The Blackley scheme uses geometric methods, where particip
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