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math.NT2026
Overconstrained character sums over finite abelian groups and decompositions of generalized bent, plateaued and landscape functions
Ayça Çeşmelioğlu, Constanza Riera, Pantelimon Stănică
Generalized bent (gbent) functions from an -variable Boolean space to are central in cryptography and sequence design. Instead of the usual binary decompositi…
math.NT2010★ 2 cited
A Representation of Permutations with Full Cycle
Ayca Cesmelioglu
For q > 2, Carlitz proved that the group of permutation polynomials (PPs) over F_q is generated by linear polynomials and x^{q-2}. Based on this result, this note points out a simp…