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A Note on Two Constructions of Zero-Difference Balanced Functions

Information Theory 2019-04-03 v2 Cryptography and Security math.IT

Abstract

Notes on two constructions of zero-difference balanced (ZDB) functions are made in this letter. Then ZDB functions over Ze×i=0kFqi\mathbb{Z}_{e}\times \prod_{i=0}^{k}{\mathbb{F}_{q_i}} are obtained. And it shows that all the known ZDB functions using cyclotomic cosets over Zn\mathbb{Z}_{n} are special cases of a generic construction. Moreover, applications of these ZDB functions are presented.

Cite

@article{arxiv.1811.07521,
  title  = {A Note on Two Constructions of Zero-Difference Balanced Functions},
  author = {Zongxiang Yi and Yuyin Yu and Chunming Tang and Yanbin Zheng},
  journal= {arXiv preprint arXiv:1811.07521},
  year   = {2019}
}

Comments

fix the math symbols in abstract

R2 v1 2026-06-23T05:20:02.116Z