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Yayın A new design of NTRU encryption with high security and performance level(Maltepe Üniversitesi, 2021) Yassein, Hassan R.; Abidalzahra, Asia A.; Al-Saidi, Nadia M.A multi-dimensional QTRU public-key cryptosystem improves NTRU by replacing the original ring in NTRU by quaternion algebra. In this paper, we introduce QMNTR an improvement of QTRU by using a new mathematical structure of two public keys and five private keys. This modification has enhanced the public key system to be more robust and secure.