New optimal modular Sidon sets. (2017)

• Record Type: Journal Article
• Authors: Shao, Zehui; Deng, Fei; Liang, Meilian; Xu, Xiaodong; Zou, Mingjun
• Is Part Of: International journal of autonomous and adaptive communications systems. Volume 10:Number 3(2017)
• Page Start: 279
• Page End: 289
• Publication Date: 2017
• Subjects: modular Sidon set -- Golomb ruler -- generalised Sidon set; Adaptive computing systems -- Periodicals; Wireless communication systems -- Periodicals; Computer networks -- Periodicals; 004.6
• Languages: English
• ISSNs: 1754-8632

Abstract

Sidon set and its related problems including modular Sidon set have many applications in information theory and communication system. They have been widely studied in radio frequency selection, radio antennae placement and error correcting codes. In this paper, we establish a backtracking algorithm with pruning techniques to construct modular Sidon sets. By using master-slave parallel model, 50 new optimal modular Sidon sets are constructed.