English

A Direct Construction of 2D-CCC with Arbitrary Array Size and Flexible Set Size Using Multivariable Function

Information Theory 2024-09-12 v8 math.IT

Abstract

Recently, two-dimensional (2D) array codes have been found to have applications in wireless communication.In this paper, we propose direct construction of 2D complete complementary codes (2D-CCCs) with arbitrary array size and flexible set size using multivariable functions (MVF). The Peak-to-mean envelope power ratio (PMEPR) properties of row and column sequences of the constructed 2D-CCC arrays are investigated. The proposed construction generalizes many of the existing state-of-the-art such as Golay complementary pair (GCP), one-dimensional (1D)-CCC, 2D Golay complementary array set (2D-GCAS), and 2D-CCC with better parameters compared to the existing work.

Keywords

Cite

@article{arxiv.2207.13395,
  title  = {A Direct Construction of 2D-CCC with Arbitrary Array Size and Flexible Set Size Using Multivariable Function},
  author = {Gobinda Ghosh and Sachin Pathak},
  journal= {arXiv preprint arXiv:2207.13395},
  year   = {2024}
}
R2 v1 2026-06-25T01:16:06.843Z