Year: 2025
Type: article
Abstract: Sequences and combinatorics, particularly in coding theory, have seen increasing attention in recent years, especially in the study of difference systems of sets (DSSs) and partitioned difference families (PDFs) also known as zero-difference balanced (ZDB) functions. This paper has two main objectives: first, to propose a new, generic construction method for optimal DSSs using PDFs, and second, to introduce a direct method for constructing PDFs over cyclic groups. This direct construction, combined with a recursive approach, can produce desirable PDFs that may be used to generate DSSs leading comma-free codes with relatively high code rates. Some of the DSSs produced through this new construction are optimal when compared to known theoretical bounds.
Author: Minfeng SHAO
Institution: Xihua University
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4408351467