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Optimal holey packings OHP4(2, 4, n ,3)'s

✍ Scribed by Jianmin Wang; J. Yan


Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
143 KB
Volume
14
Category
Article
ISSN
1063-8539

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✦ Synopsis


Abstract

An optimal holey packing OHP~d~(2, k, n, g) is equivalent to a maximal (g + 1)‐ary (n, k, d) constant weight code. In this paper, we provide some recursive constructions for OHP~d~(2, k, n, g)'s and use them to investigate the existence of an OHP~4~(2, 4, n, 3) for n ≑ 2, 3 (mod 4). Combining this with Wu's result (18), we prove that the necessary condition for the existence of an OHP~4~(2, 4, n, 3), namely, n β‰₯ 5 is also sufficient, except for nβ€‰βˆˆβ€‰{6, 7} and except possibly for n = 26. Β© 2005 Wiley Periodicals, Inc. J Combin Designs 14: 111–123, 2006


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