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, TsonkaTopalova, Svetlana Keywords: Optical Orthogonal CodesCyclic Steiner Triple SystemsBinary Cyclically Permutable Constant Weight CodesCode 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

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