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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.
ISSN: 1312-6555
Appears in Collections:Volume 9 Number 1

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