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cs.CR2026
Constructions of complete permutations over
Sartaj Ul Hasan, Ramandeep Kaur, Hridesh Kumar +2
Complete permutation polynomials play an important role in cryptography, particularly in the design of cryptographic primitives such as the Lai--Massey scheme and S-boxes. We gener…
math.CO2026
Enumeration of certain permutation group polynomials
Sartaj Ul Hasan, Ramandeep Kaur, Hridesh Kumar
We construct a new family of permutation group polynomials over finite fields of odd characteristic and explicitly provide its companion. Moreover, we precisely determine the numbe…
math.NT2026
Permutation polynomials from the trace functions
Sartaj Ul Hasan, Ramandeep Kaur, Hridesh Kumar
We study necessary and sufficient conditions on for several classes of polynomials of the form to be permutation polynomials over finite…