CQTRU: A Commutative Quaternions Rings Based Public Key Cryptosystem
In this paper, we propose a new version of the NTRU public key cryptosystem called CQTRU. It is a four-dimensional cryptosystem based on the commutative quaternion ring. This public key system has an ability to encrypt four sets of data in each session. Therefore, it gains the positive points and th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Unviversity of Technology- Iraq
2016-06-01
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| Series: | Engineering and Technology Journal |
| Subjects: | |
| Online Access: | https://etj.uotechnology.edu.iq/article_126844_4190e34d8bbb226c0c701e638b2c21bf.pdf |
| _version_ | 1827358764798312448 |
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| author | Nadia M.G. Alsaidi Ahmad T. Sadiq Ali A. Majid |
| author_facet | Nadia M.G. Alsaidi Ahmad T. Sadiq Ali A. Majid |
| author_sort | Nadia M.G. Alsaidi |
| collection | DOAJ |
| description | In this paper, we propose a new version of the NTRU public key cryptosystem called CQTRU. It is a four-dimensional cryptosystem based on the commutative quaternion ring. This public key system has an ability to encrypt four sets of data in each session. Therefore, it gains the positive points and the strength of NTRU cryptosystems. The definition of the ring of CQTRU is introduced with the definition of its operations. The three phases of the new proposed system (key generation, encryption and decryption) are discussed in details, in addition to the decryption failure probability, key security and message security. Finally, the resistance of CQTRU's against lattice attack is investigated. |
| first_indexed | 2024-03-08T06:15:54Z |
| format | Article |
| id | doaj.art-ce27aa1072ab4338998eb681b0a6863f |
| institution | Directory Open Access Journal |
| issn | 1681-6900 2412-0758 |
| language | English |
| last_indexed | 2024-03-08T06:15:54Z |
| publishDate | 2016-06-01 |
| publisher | Unviversity of Technology- Iraq |
| record_format | Article |
| series | Engineering and Technology Journal |
| spelling | doaj.art-ce27aa1072ab4338998eb681b0a6863f2024-02-04T17:27:40ZengUnviversity of Technology- IraqEngineering and Technology Journal1681-69002412-07582016-06-01346B90191110.30684/etj.34.6B.19126844CQTRU: A Commutative Quaternions Rings Based Public Key CryptosystemNadia M.G. AlsaidiAhmad T. SadiqAli A. MajidIn this paper, we propose a new version of the NTRU public key cryptosystem called CQTRU. It is a four-dimensional cryptosystem based on the commutative quaternion ring. This public key system has an ability to encrypt four sets of data in each session. Therefore, it gains the positive points and the strength of NTRU cryptosystems. The definition of the ring of CQTRU is introduced with the definition of its operations. The three phases of the new proposed system (key generation, encryption and decryption) are discussed in details, in addition to the decryption failure probability, key security and message security. Finally, the resistance of CQTRU's against lattice attack is investigated.https://etj.uotechnology.edu.iq/article_126844_4190e34d8bbb226c0c701e638b2c21bf.pdfpublic key cryptographyntrulattice attackquaternion algebracommutative cryptosystem |
| spellingShingle | Nadia M.G. Alsaidi Ahmad T. Sadiq Ali A. Majid CQTRU: A Commutative Quaternions Rings Based Public Key Cryptosystem Engineering and Technology Journal public key cryptography ntru lattice attack quaternion algebra commutative cryptosystem |
| title | CQTRU: A Commutative Quaternions Rings Based Public Key Cryptosystem |
| title_full | CQTRU: A Commutative Quaternions Rings Based Public Key Cryptosystem |
| title_fullStr | CQTRU: A Commutative Quaternions Rings Based Public Key Cryptosystem |
| title_full_unstemmed | CQTRU: A Commutative Quaternions Rings Based Public Key Cryptosystem |
| title_short | CQTRU: A Commutative Quaternions Rings Based Public Key Cryptosystem |
| title_sort | cqtru a commutative quaternions rings based public key cryptosystem |
| topic | public key cryptography ntru lattice attack quaternion algebra commutative cryptosystem |
| url | https://etj.uotechnology.edu.iq/article_126844_4190e34d8bbb226c0c701e638b2c21bf.pdf |
| work_keys_str_mv | AT nadiamgalsaidi cqtruacommutativequaternionsringsbasedpublickeycryptosystem AT ahmadtsadiq cqtruacommutativequaternionsringsbasedpublickeycryptosystem AT aliamajid cqtruacommutativequaternionsringsbasedpublickeycryptosystem |