Optimal grid holey packings with block size 3 and 4 |
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| Authors: | Bin Wen Jianmin Wang Jianxing Yin |
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| Institution: | (1) Department of Mathematics, Suzhou University, Suzhou, 215006, People’s Republic of China;(2) Department of Mathematics, Changshu Institute of Technology, Suzhou, 215500, People’s Republic of China |
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| Abstract: | The notion of a grid holey packing (GHP) was first proposed for the construction of constant composite codes. For a GHP (k, 1; n × g) of type w
1, . . . , w
g
], where  , the fundamental problem is to determine the packing number N(w
1, . . . , w
g
], 1; n × g), that is, the maximum number of blocks in such a GHP. In this paper we determine completely the values of N(w
1, . . . , w
g
], 1; n × g) in the case of block size  .
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| Keywords: | Grid holey packing Optimal Segmental grid holey packing |
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