Kumar, P. V. ; Scholtz, R. A. ; Welch, L. R.
(1985)
*Generalized bent functions and their properties*
Journal of Combinatorial Theory, Series A, 40
(1).
pp. 90-107.
ISSN 0097-3165

Full text not available from this repository.

Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0097-3165(85)90049-4

## Abstract

Jet J_{q}^{m} denote the set of m-tuples over the integers modulo q and set i = -1, w = e^{i(2πq)}. As an extension of Rothaus' notion of a bent function, a function f, f: J_{q}^{m} → J_{q}^{1} is called bent if all the Fourier coefficients of w^{f} have unit magnitude. An important feature of these functions is that their out-of-phase autocorrelation value is identically zero. The nature of the Fourier coefficients of a bent function is examined and a proof for the non-existence of bent functions over J_{q}^{m}, m odd, is given for many values of q of the form q = 2 (mod 4). For every possible value of q and m (other than m odd and q = 2 (mod 4)), constructions of bent functions are provided.

Item Type: | Article |
---|---|

Source: | Copyright of this article belongs to Elsevier Science. |

ID Code: | 110295 |

Deposited On: | 31 Jan 2018 10:42 |

Last Modified: | 31 Jan 2018 10:42 |

Repository Staff Only: item control page