Analogue to NTRU public key cryptosystem by multi-dimensional algebra with high security

Hadeel Hadi Abo-Alsood, Hassan Rashed Yassein · AIP conference proceedings · 2022

In this paper, we present TOTRU a new multi-dimensional public-key cryptosystem. TOTRU is based on the octonion algebra as an alternative to the NTRU-mathematical structure which non-commutative, non-associative. It has been differentiated from NTRU by creating two public keys. This structure increases the complexity and security of TOTRU. We also show that TOTRU is an improvement over NTRU in terms of security and efficiency.

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