Nonexistence of two classes of generalized bent functions

Jianing Li; Yingpu Deng

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arXiv · 1507.06886

Nonexistence of two classes of generalized bent functions

Jianing Li·Yingpu Deng

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Abstract

We obtain new nonexistence results of generalized bent functions from $\{Z^n}_q$ to $\Z_q$ (called type $[n,q]$) in the case that there exist cyclotomic integers in $ \Z[ζ_{q}]$ with absolute value $q^{\frac{n}{2}}$. This result generalize the previous two scattered nonexistence results $[n,q]=[1,2\times7]$ of Pei \cite{Pei} and $[3,2\times 23^e]$ of Jiang-Deng \cite{J-D} to a generalized class. In the last section, we remark that this method can apply to the GBF from $\Z^n_2$ to $\Z_m$.

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Jianing Li, Yingpu Deng. 2015-07-24. Nonexistence of two classes of generalized bent functions. https://arxiv.org/abs/1507.06886

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