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On “bent” functions. (English) Zbl 0336.12012
Author’s summary: Let $$P(x)$$ be a function from $$\mathrm{GF}(2^n)$$ to $$\mathrm{GF}(2)$$. $$P(x)$$ is called “bent” if all Fourier coefficients of $$(-1)^{P(x)}$$ are $$\pm 1$$. The polynomial degree of a bent function $$P(x)$$ is studied, as are the properties of the Fourier transform of $$(-1)^{P(x)}$$, and a connection with Hadamard matrices.
Reviewer: John H. Hodges

##### MSC:
 11T71 Algebraic coding theory; cryptography (number-theoretic aspects) 05A15 Exact enumeration problems, generating functions
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##### References:
 [1] McFarland, R, A family of difference sets in noncyclic groups, J. combinatorial theory, ser. A, 15, 1-10, (1973) · Zbl 0268.05011
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