Construction of sequences with high nonlinear complexity from a generalization of the Hermitian function field
Information Theory
2022-10-07 v2 math.IT
Abstract
For an odd integer, we provide a sequence from the function field of the maximal curve over defined by the affine equation . This sequence has high nonlinear complexity, and this fact comes from the existence of a rational function on with pole divisor of small degree, and support in certain rational places.
Cite
@article{arxiv.1909.08061,
title = {Construction of sequences with high nonlinear complexity from a generalization of the Hermitian function field},
author = {Alonso S. Castellanos and Luciane Quoos and Guilherme Tizziotti},
journal= {arXiv preprint arXiv:1909.08061},
year = {2022}
}