Title: New optimal modular Sidon sets

Authors: Zehui Shao; Fei Deng; Meilian Liang; Xiaodong Xu; Mingjun Zou

Addresses: School of Information Science and Technology, Chengdu University, Chengdu 610106, China ' College of Information Science and Technology, Chengdu University of Technology, Chengdu 610059, China ' School of Mathematics and Information Science, Guangxi University, Nanning 530004, China ' Guangxi Academy of Science, Nanning, Guangxi 530007,China ' School of Information Science and Technology, Chengdu University, Chengdu 610106, China

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.

Keywords: modular Sidon set; Golomb ruler; generalised Sidon set.

DOI: 10.1504/IJAACS.2017.086650

International Journal of Autonomous and Adaptive Communications Systems, 2017 Vol.10 No.3, pp.279 - 289

Received: 06 Oct 2014
Accepted: 28 Oct 2014

Published online: 11 Sep 2017 *

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