<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

NTRU Over Galois Rings

Faculty of Science and Arts, Department of Mathematics

Atatürk Faculty of Education, Department of Mathematics Education

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"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...

Old		New
public key	Secret key	public key	Secret key
p, q, h, N	f, $f_{p}^{- 1}$ f_p^{ - 1} , g	p^k, q^t, h, N	f, $f_{p^{k}}^{- 1}$ f_{{p^k}}^{ - 1}
p = 3	f = 1 + pF	p = 3³⁷	g,x^k,ϕ⁻¹
q = 59		q = 59²³	f = 88 + pF
N = 11		N = 113	g → g^k
$h = f_{q}^{- 1} ⋆ g$ h = f_q^{ - 1} \star g		$h = f_{q^{t}}^{- 1} ⋆ g^{k}$ h = f_{{q^t}}^{ - 1} \star {g^k}

NTRU Over Galois Rings

Online veröffentlicht: 30. Okt. 2020

Seitenbereich: 499 - 506

Eingereicht: 26. Juli 2019

Akzeptiert: 19. Sept. 2019

DOI: https://doi.org/10.2478/amns.2020.2.00041

Schlüsselwörter
Vector field, complete lift, diagonal lift, pull-back bundle, cross-section, semi-cotangent bundle

© 2019 Mehmet Sever et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

The proposed NTRU scheme

NTRU Over Galois Rings

Online veröffentlicht: 30. Okt. 2020

Seitenbereich: 499 - 506

Eingereicht: 26. Juli 2019

Akzeptiert: 19. Sept. 2019

DOI: https://doi.org/10.2478/amns.2020.2.00041

SchlüsselwörterVector field, complete lift, diagonal lift, pull-back bundle, cross-section, semi-cotangent bundle

© 2019 Mehmet Sever et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

The proposed NTRU scheme

Schlüsselwörter
Vector field, complete lift, diagonal lift, pull-back bundle, cross-section, semi-cotangent bundle