English

Decomposition of bent generalized Boolean functions

Information Theory 2016-11-22 v1 math.IT

Abstract

A one to one correspondence between regular generalized bent functions from \F2n\F_2^n to Z2m,\Z_{2^m}, and mm-tuples of Boolean bent functions is established. This correspondence maps self-dual (resp. anti-self-dual) generalized bent functions to mm-tuples of self-dual (resp. anti self-dual) Boolean bent functions. An application to the classification of regular generalized bent functions under the extended affine group is given.

Keywords

Cite

@article{arxiv.1611.06357,
  title  = {Decomposition of bent generalized Boolean functions},
  author = {Lin Sok and MinJia Shi and Patrick Solé},
  journal= {arXiv preprint arXiv:1611.06357},
  year   = {2016}
}

Comments

3 pages, submitted to IEEE Communication Letters

R2 v1 2026-06-22T16:57:55.223Z