Abstract
This article, based on the Merkle – Hellman cryptographic system, examines the encryption /decryption process and the connection with the concepts and basics of abstract algebra. At the same time, the interconnection between abstract algebra - cryptography - algorithmic - programming is highlighted. From a methodological point of view, the stages of encryption and decryption used in the application of the Merkle – Hellman cryptographic system are examined in detail.

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