New classes of permutation pentanomials over 𝔽52n
*Shalini GuptaCorresponding authorshalini.garga1970@gmail.comDepartment of Mathematics & StatisticsHimachal Pradesh UniversityShimla, Himachal Pradesh, 171005, IndiaView full profile → , Sagar Vinayaksagarvinayak0001@gmail.comDepartment of Mathematics & StatisticsHimachal Pradesh UniversityShimla, Himachal Pradesh, 171005, IndiaView full profile → , Manpreet Singhms44167@gmail.comDepartment of Mathematics & StatisticsHimachal Pradesh UniversityShimla, Himachal Pradesh, 171005, IndiaView full profile →
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- Received:
- 01 Aug 2025
- Published Online:
- 05 Oct 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2710
- Pages:
- 1–20
Abstract
Developing novel classes of permutation polynomials(PPs) has become a prominent focus in recent mathematical research. We introduce new classes of permutation pentanomials defined on 𝔽52n through the strategic selection of coefficients expressed as xr h(xq–1), where q = 5n. Over nine distinct classes are identified, with further generalizations achieved by varying the exponent r.
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References
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