Some Zero-Difference Functions Over ℤ_n Using Cyclotomies

2019/08/19 by Zongxiang Yi, Yi, Zongxiang
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Graph Labeling and Dimension Problems #graph theory and CDMA systems #math.CO

paper · pdf · doi:10.48550/arxiv.1908.09463

formerly part of arXiv:1811.08132

arxiv created 2019/08/19 · openalex publication_date 2019/08/19 · arxiv updated 2019/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A generic method to construct zero-difference functions (ZDFs) on algebraic rings is proposed in this paper. Then this method is used over some rings ℤ_p^k, where p is a prime number and k≥ 2 is a positive integer, and for some other special rings.

Citations

• The Zero-Difference Properties of Functions and Their Applications

Related

• Cyclotomic completions of polynomial rings
• Sequence of Exact Zero-Divisors
• Truncations of the ring of number-theoretic functions
• Difference Nullstellensatz
• Locally Integer Polynomial Functions