English

On the linear complexity for multidimensional sequences

Number Theory 2018-07-30 v4 Information Theory math.IT

Abstract

In this paper, we define the linear complexity for multidimensional sequences over finite fields, generalizing the one-dimensional case. We give some lower and upper bounds, valid with large probability, for the linear complexity and kk-error linear complexity of multidimensional periodic sequences.

Keywords

Cite

@article{arxiv.1803.03912,
  title  = {On the linear complexity for multidimensional sequences},
  author = {Domingo Gómez-Pérez and Min Sha and Andrew Tirkel},
  journal= {arXiv preprint arXiv:1803.03912},
  year   = {2018}
}

Comments

13 pages

R2 v1 2026-06-23T00:48:46.209Z