Sidon序列与双周期二维的同步模式
Sidon Sequences and Doubly Periodic Two-Dimensional Synchronization Patterns
摘要：
Sidon序列及其推广近年来在编码理论中得到了广泛的应用。这些序列的最重要的应用之一是在同步模式的连接。一些二维的【形】同步模式的构造是基于这些序列。在本文中，我们提出了一个二维的【形】同步模式可以转化为西顿序列的充分条件。我们还提出了一个新的构造Sidon序列的大小为q（q-1），其中q是一个幂的素数的字母表。
英文摘要：
Sidon sequences and their generalizations have found during the years and especially recently various applications in coding theory. One of the most important applications of these sequences is in the connection of synchronization patterns. A few constructions of two-dimensional synchronization patterns are based on these sequences. In this paper we present sufficient conditions that a two-dimensional synchronization pattern can be transformed into a Sidon sequence. We also present a new construction for Sidon sequences over an alphabet of size q(q-1), where q is a power of a prime.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
