Pairwise balanced designs with consecutive block sizes
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Publication:676713
DOI10.1023/A:1008248521550zbMath0869.05009OpenAlexW1488445482MaRDI QIDQ676713
Alan C. H. Ling, Ronald C. Mullin, Xiaojun Zhu, Charles J. Colbourn
Publication date: 20 May 1997
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1008248521550
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The existence of \(( \nu,6, \lambda\) )-perfect Mendelsohn designs with \(\lambda > 1\) ⋮ Super-simple twofold Steiner pentagon systems ⋮ Completely reducible super-simple designs with block size four and related super-simple packings ⋮ Super-simple balanced incomplete block designs with block size 5 and index 3 ⋮ Modified group divisible designs with block size 5 and even index ⋮ Super-simple group divisible designs with block size 4 and index \(\lambda = 7,8\) ⋮ The decomposition of \(K_v\) into \(K_2\times K_5\)'s ⋮ Optimal multiply constant-weight codes from generalized Howell designs ⋮ Super-simple \((5, 4)\)-GDDs of group type \(g^u\) ⋮ Super-simple group divisible designs with block size 4 and index 9 ⋮ RHPMDs and FHPMDs with \(k=4\) and type \(4^u\) ⋮ Further results on the existence of super-simple pairwise balanced designs with block sizes 3 and 4 ⋮ Two types of switchable \(\lambda \)-fold \((K_4 - e)\)-designs ⋮ Resolvable packings ofKvwithK2 × Kc's ⋮ Existence of HSOLSSOMs of type \(2^nu^1\) ⋮ Generalized balanced tournament designs and related codes ⋮ Unnamed Item ⋮ Doubly Resolvable Nearly Kirkman Triple Systems ⋮ Quintessential pairwise balanced designs ⋮ Doubly resolvable canonical Kirkman packing designs and its applications ⋮ Some new resolvable GDDs with \(k = 4\) and doubly resolvable GDDs with \(k = 3\)
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