IMI-BAS BAS
 

BulDML at Institute of Mathematics and Informatics >
IMI >
IMI Periodicals >
Serdica Journal of Computing >
2015 >
Volume 9 Number 1 >

Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2484

Title: Classification of Maximal Optical Orthogonal Codes of Weight 3 and Small Lengths
Authors: Baicheva, Tsonka
Topalova, Svetlana
Keywords: Optical Orthogonal Codes
Cyclic Steiner Triple Systems
Binary Cyclically Permutable Constant Weight Codes
Code Division Multiple Access System
Issue Date: 2015
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Journal of Computing, Vol. 9, No 1, (2015), 83p-92p
Abstract: Dedicated to the memory of the late professor Stefan Dodunekov on the occasion of his 70th anniversary. We classify up to multiplier equivalence maximal (v, 3, 1) optical orthogonal codes (OOCs) with v ≤ 61 and maximal (v, 3, 2, 1) OOCs with v ≤ 99. There is a one-to-one correspondence between maximal (v, 3, 1) OOCs, maximal cyclic binary constant weight codes of weight 3 and minimum dis tance 4, (v, 3; ⌊(v − 1)/6⌋) difference packings, and maximal (v, 3, 1) binary cyclically permutable constant weight codes. Therefore the classification of (v, 3, 1) OOCs holds for them too. Some of the classified (v, 3, 1) OOCs are perfect and they are equivalent to cyclic Steiner triple systems of order v and (v, 3, 1) cyclic difference families.
URI: http://hdl.handle.net/10525/2484
ISSN: 1312-6555
Appears in Collections:Volume 9 Number 1

Files in This Item:

File Description SizeFormat
sjc-vol9-num1-2015-p83-p92.pdf157.49 kBAdobe PDFView/Open

 



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 

Valid XHTML 1.0!   Creative Commons License DSpace Software Copyright © 2002-2009  The DSpace Foundation - Feedback