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

2022 ◽  
Author(s):  
Hadeel Hadi Abo-Alsood ◽  
Hassan Rashed Yassein
Author(s):  
H.R. Yassein ◽  
◽  
N.M.G. Al-Saidi ◽  
A.K. Jabber ◽  
◽  
...  

The NTRU public key cryptosystem is essentially based on the Nth degree trun- cated polynomial ring Z[X]/XN−1 . By altering the Z[X]/XN−1 or its mathematical con- struction, many researchers have worked to improve NTRU. In this paper, we present a new multi-dimensional public key cryptosystem which depends on a commutative quaternion al- gebra with a new structure. The new structure is an alternative to NTRU called NTRTE. Some data are used for comparing the key security and message security of NTRTE with the original NTRU and QTRU cryptosystems. Based on a security assessment, the comparison reveals that NTRTE is more resistant to them.


2019 ◽  
Vol 30 (04) ◽  
pp. 635-645 ◽  
Author(s):  
Xiangxin Liu ◽  
Xiaoyuan Yang ◽  
Yiliang Han ◽  
Xu An Wang

The McEliece public key cryptosystem and the Niederreiter public key cryptosystem are the two major branches of the code-based public key cryptosystem. It has been found that the difficult problems relied by these two systems are different from the syndrome decoding problem stated by Berlekamp et al. The Hamming weight of the error vector is fixed and known to the attackers in these two systems, which leading to the disclosure of information, and through which the attacker can implement an effective attack. In this paper, an improved vision of the McEliece public key cryptosystem was given, and a new code-based signature scheme is designed based on the new cryptosystem. As a result, we achieve a more secure variant of McEliece public key cryptosystem and a more secure code-based signature scheme with high security and fast signing speed.


Author(s):  
Yasuhiko IKEMATSU ◽  
Dung Hoang DUONG ◽  
Albrecht PETZOLDT ◽  
Tsuyoshi TAKAGI

2021 ◽  
Vol 1897 (1) ◽  
pp. 012045
Author(s):  
Karrar Taher R. Aljamaly ◽  
Ruma Kareem K. Ajeena

2009 ◽  
Vol 3 (4) ◽  
Author(s):  
Simon R. Blackburn ◽  
Carlos Cid ◽  
Ciaran Mullan

Sign in / Sign up

Export Citation Format

Share Document