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Super-Simple Resolvable Balanced Incomplete Block Designs with Block Size 4 and Index 4

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Abstract

The necessary conditions for the existence of a super-simple resolvable balanced incomplete block design on v points with block size k = 4 and index λ = 4, are that v ≥ 16 and v ≡ 4 (mod 12). These conditions are shown to be sufficient.

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Authors and Affiliations

  1. Department of Computer Science and Engineering, Langfang Polytechnic Institute, Langfang, 065000, People’s Republic of China

    Hongjuan Liu

  2. Department of Basic Courses, Chinese People’s Armed Police Force Academy, Langfang, 065000, People’s Republic of China

    Lidong Wang

Authors
  1. Hongjuan Liu
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  2. Lidong Wang
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Corresponding author

Correspondence to Lidong Wang.

Additional information

Supported by Science and Technology Project of Langfang No. 2010011017 (H. Liu) and NSFC Grant No. 10771051, 11001182, 10901051 (L. Wang).

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Liu, H., Wang, L. Super-Simple Resolvable Balanced Incomplete Block Designs with Block Size 4 and Index 4. Graphs and Combinatorics 29, 1477–1488 (2013). https://doi.org/10.1007/s00373-012-1194-7

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  • DOI: https://doi.org/10.1007/s00373-012-1194-7

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