Niho bent functions and ovals in small dimensions

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Kanat Abdukhalikov
Rasha Shat

Abstract

We consider Niho bent functions in small dimensions. They are in one-to-one correspondence with ovals in the projective plane PG(2, q), q=2m. Niho bent functions and ovals are listed up to equivalency for dimensions m6. They are described by means of g-functions. We also give characterization of supports of Niho bent functions and their duals in terms of associated ovals.

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How to Cite
Abdukhalikov, K., & Shat, R. (2024). Niho bent functions and ovals in small dimensions. Gulf Journal of Mathematics, 16(2), 64-80. https://doi.org/10.56947/gjom.v16i2.1870
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