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29 April 2023

Reply to Arshad, R.; Jalil, M. Comment on “Nizam Chew, L.C.; Ismail, E.S. S-box Construction Based on Linear Fractional Transformation and Permutation Function. Symmetry 2020, 12, 826”

and
1
Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
2
Cryptography Development Department, CyberSecurity Malaysia, Cyberjaya 63000, Selangor, Malaysia
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Author to whom correspondence should be addressed.
In this reply paper, we provide a response to the comment paper of a comment on “S-box Construction Based on Linear Fractional Transformation and Permutation Function” written by Razi Arshad and Mudassar Jalil [1]. They pointed out that the polynomial P t = t 8 + t 4 + t 3 + t 2 + t + 1 written in Chew et al. [2] is not irreducible. We thank the authors [1] for this observation.
However, we can confirm that there was a typing error in the polynomial. The actual polynomial used in our S-box design was P t = t 8 + t 4 + t 3 + t 2 + 1 , which is also stated clearly in Table 1 in [2] (refer to the 16th polynomial). We also confirmed and verified that all results obtained in [2] were from the irreducible polynomial P t = t 8 + t 4 + t 3 + t 2 + 1 .

Conflicts of Interest

The authors declare no conflict of interest.

References

  1. Arshad, R.; Jalil, M. Comment on Nizam Chew, L.C.; Ismail, E.S. S-box Construction Based on Linear Fractional Transformation and Permutation Function. Symmetry 2020, 12, 826. Symmetry 2023, 15, 1005. [Google Scholar] [CrossRef]
  2. Nizam Chew, L.C.; Ismail, E.S. S-box Construction Based on Linear Fractional Transformation and Permutation Function. Symmetry 2020, 12, 826. [Google Scholar] [CrossRef]
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