More classes of permutation polynomials of the form (x^{p^m}-x+\delta )^s+L(x)$$ (original) (raw)

Access this article

Log in via an institution

Subscribe and save

• Starting from 10 chapters or articles per month
• Access and download chapters and articles from more than 300k books and 2,500 journals
• Cancel anytime View plans

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

1. Akbary, A., Ghioca, D., Wang, Q.: On constructing permutations of finite fields. Finite Fields Appl. 17(1), 51–67 (2011)
   Article MathSciNet MATH Google Scholar
2. Helleseth, T., Zinoviev, V.: New Kloosterman sums identities over \(\mathbb{F}_{2^m}\) for all \(m\). Finite Fields Appl. 9(2), 187–193 (2003)
   Article MathSciNet MATH Google Scholar
3. Li, N., Helleseth, T., Tang, X.: Further results on a class of permutation polynomials over finite fields. Finite Fields Appl. 22, 16–23 (2013)
   Article MathSciNet MATH Google Scholar
4. Lidl, R., Niederreiter, H.: Finite fields. In: Encyclopedia of Mathematics and Its Applications, vol 20, 2nd edn. Cambridge University Press, Cambridge (1997)
5. Marcos, J.E.: Some permutation polynomials over finite fields. Appl. Algebra Eng. Commun. Comput. 26(5), 465–474 (2015)
   Article MathSciNet MATH Google Scholar
6. Tu, Z., Zeng, X., Jiang, Y.: Two classes of permutation polynomials having the form \((x^{2^m}+x +\delta )^s+x\). Finite Fields Appl. 31, 12–24 (2015)
   Article MathSciNet MATH Google Scholar
7. Tu, Z., Zeng, X., Li, C., Helleseth, T.: Permutation polynomials of the form \((x^{p^m}- x +\delta )^s+L(x)\) over the finite field \({\mathbb{F}}_{p^{2m}}\) of odd characteristic. Finite Fields Appl. 34, 20–35 (2015)
   Article MathSciNet MATH Google Scholar
8. Yuan, J., Ding, C.: Four classes of permutation polynomials of \({\mathbb{F}}_{2^m}\). Finite Fields Appl. 13(4), 869–876 (2007)
   Article MathSciNet MATH Google Scholar
9. Yuan, J., Ding, C., Wang, H., Pieprzyk, J.: Permutation polynomials of the form \((x^p-x +\delta )^s+L(x)\). Finite Fields Appl. 14(2), 482–493 (2008)
   Article MathSciNet MATH Google Scholar
10. Yuan, P., Ding, C.: Permutation polynomials over finite fields from a powerful lemma. Finite Fields Appl. 17(6), 560–574 (2011)
    Article MathSciNet MATH Google Scholar
11. Yuan, P., Ding, C.: Further results on permutation polynomials over finite fields. Finite Fields Appl. 27, 88–103 (2014)
    Article MathSciNet MATH Google Scholar
12. Yuan, P., Zheng, Y.: Permutation polynomials from piecewise functions. Finite Fields Appl. 35, 215–230 (2015)
    Article MathSciNet MATH Google Scholar
13. Zeng, X., Tian, S., Tu, Z.: Permutation polynomials from trace functions over finite fields. Finite Fields Appl. 35, 36–51 (2015)
    Article MathSciNet MATH Google Scholar
14. Zeng, X., Zhu, X., Hu, L.: Two new permutation polynomials with the form \((x^{2^k}+x +\delta )^s+x\) over \({\mathbb{F}}_{2^n}\). Appl. Algebra Eng. Commun. Comput. 21(2), 145–150 (2010)
    Article MathSciNet MATH Google Scholar
15. Zha, Z., Hu, L.: Two classes of permutation polynomials over finite fields. Finite Fields Appl. 18(4), 781–790 (2012)
    Article MathSciNet MATH Google Scholar
16. Zha, Z., Hu, L.: Some classes of permutation polynomials of the form \((x^{p^m}-x +\delta )^s+x\) over \({\mathbb{F}}_{p^{2m}}\). Finite Fields Appl. 40, 150–162 (2016)
    Article MathSciNet MATH Google Scholar

Download references