Quaternary Golay sequence pairs I: even length |
| |
| Authors: | Richard G Gibson Jonathan Jedwab |
| |
| Institution: | 1. Department of Computing Science, University of Alberta, 2-21 Athabasca Hall, Edmonton, AB, T6G 2E8, Canada
2. Department of Mathematics, Simon Fraser University, 8888 University Drive, Burnaby, BC, V5A 1S6, Canada
|
| |
| Abstract: | The origin of all 4-phase Golay sequences and Golay sequence pairs of even length at most 26 is explained. The principal techniques are the three-stage construction of Fiedler, Jedwab and Parker involving multi-dimensional Golay arrays, and a ??sum?Cdifference?? construction that modifies a result due to Eliahou, Kervaire and Saffari. The existence of 4-phase seed pairs of lengths 3, 5, 11, and 13 is assumed; their origin is considered in (Gibson and Jedwab, Des Codes Cryptogr, 2010). |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
