NTRU Over Galois Rings

As a cryptosystem, Nth Truncated Polynomial Ring (NTRU) is established on the fast and easy calculation. Improving the security is aimed by enlarging a ring where the processes execute and enhancing the number of a private key and a public key. In this study, NTRU takes over the Galois rings and is...

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Main Authors: Sever Mehmet, Özdemir Ahmet Şükrü
Format: Article
Language:English
Published: Sciendo 2020-10-01
Series:Applied Mathematics and Nonlinear Sciences
Subjects:
Online Access:https://doi.org/10.2478/amns.2020.2.00041
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author Sever Mehmet
Özdemir Ahmet Şükrü
author_facet Sever Mehmet
Özdemir Ahmet Şükrü
author_sort Sever Mehmet
collection DOAJ
description As a cryptosystem, Nth Truncated Polynomial Ring (NTRU) is established on the fast and easy calculation. Improving the security is aimed by enlarging a ring where the processes execute and enhancing the number of a private key and a public key. In this study, NTRU takes over the Galois rings and is analysed by adding a new private key.
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spelling doaj.art-45c7ce34408e4c86ae4eaae79f389ce12022-12-21T21:23:22ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562020-10-016149950610.2478/amns.2020.2.00041NTRU Over Galois RingsSever Mehmet0Özdemir Ahmet Şükrü1Ağrı Ibrahim Çeçen University, Faculty of Science and Arts, Department of Mathematics, 04100, Ağrı, TurkeyMarmara University, Atatürk Faculty of Education, Department of Mathematics Education, 34712, Istanbul, TurkeyAs a cryptosystem, Nth Truncated Polynomial Ring (NTRU) is established on the fast and easy calculation. Improving the security is aimed by enlarging a ring where the processes execute and enhancing the number of a private key and a public key. In this study, NTRU takes over the Galois rings and is analysed by adding a new private key.https://doi.org/10.2478/amns.2020.2.00041vector fieldcomplete liftdiagonal liftpull-back bundlecross-sectionsemi-cotangent bundle11r33
spellingShingle Sever Mehmet
Özdemir Ahmet Şükrü
NTRU Over Galois Rings
Applied Mathematics and Nonlinear Sciences
vector field
complete lift
diagonal lift
pull-back bundle
cross-section
semi-cotangent bundle
11r33
title NTRU Over Galois Rings
title_full NTRU Over Galois Rings
title_fullStr NTRU Over Galois Rings
title_full_unstemmed NTRU Over Galois Rings
title_short NTRU Over Galois Rings
title_sort ntru over galois rings
topic vector field
complete lift
diagonal lift
pull-back bundle
cross-section
semi-cotangent bundle
11r33
url https://doi.org/10.2478/amns.2020.2.00041
work_keys_str_mv AT severmehmet ntruovergaloisrings
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