| Splitting Balanced Incomplete Block Designs with Block Size 2×k |
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| 引用本文： | 沈军.Splitting Balanced Incomplete Block Designs with Block Size 2×k[J].上海交通大学学报(英文版),2005(1). |
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| 作者姓名： | 沈军 |
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| 作者单位： | Dept.of Mathematics，Shanghai Jiaotong Univ.，Shanghai 200030，China |
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| 基金项目： | National Natural Science Foundation ofChina(No.10 4710 93) |
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| 摘 要： | IntroductionIn the study of authentication codes,Ogata,etal1] ,introduced the concept of splitting balancedincomplete block design which can be used toconstructk- splitting A- codes.A ( v,u× k,λ) - splitting balanced incompleteblock design is a pair( V,B) ,where V is a v- setofpoints and Bis a collection of subses of V ( calledblocks) with size uk such that the followingconditions are satisfied:( 1 ) Every B∈ B is expressed as a disjointunion of u subblocks of size k:B=B1∪ B2 ∪ ...…
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