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We would like to prevent, detect, and protect communication and information systems' attacks, which include unauthorized reading of a message of file and traffic analysis or active attacks, such as modification of messages or files, and denial of service by providing cryptographic techniques. If we prove that an encryption algorithm is based on mathematical NP-hard problems, we can prove its security. In this paper, we present a new NTRU-Like public-key cryptosystem with security provably baseddoi:10.23755/rm.v34i0.404 doaj:83ab2c7b067f4eb89c721357d721aa95 fatcat:fdf6dduxabgrlcakxf4at6kmhm