Generalised linear orthomorphic permutations
by Haiqing Han; Siru Zhu; Yanqing Dai; Qili Mao; Qin Li; Kang Shi
International Journal of Reasoning-based Intelligent Systems (IJRIS), Vol. 13, No. 3, 2021

Abstract: The concept of generalised orthomorphic permutations over the Galois field Fⁿ_q is proposed on the basis of the original concept with regard to orthomorphic permutations over the Galois field Fⁿ₂ in this scientific research paper. At the same time, the enumeration formula of the total generalised linear orthomorphic permutations over the Galois field Fⁿ_q is given. It is worth noting that the Galois field Fⁿ_q possesses the prime subfield F_p with an arbitrary prime number as the characteristic. The local creating algorithm is obtained and generates the partial generalised linear orthomorphic permutations over the Galois general field Fⁿ_q. Consequently the existing and innovative enumeration formula involved linear orthomorphic permutations over a Galois field with characteristic two happens to be a special case to contain in our novel fruits over the general field. In the field of information security, the generalised linear orthomorphic permutations have been thoroughly discussed and generated far and wide for the design of the p-permutation in the diffusion layer of iterative round function involving an unbreakable cryptosystem. Finally we can obtain some generalised linear orthomorphic permutations with the greatest branch number in this research paper.

Online publication date: Mon, 16-Aug-2021

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Reasoning-based Intelligent Systems (IJRIS):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com