Results 1 to 10 of about 77 (37)
Symmetric Balanced Incomplete Block Designs (Sbibd) And Construction of Hadamard Rhotrices [PDF]
MATEC Web of ConferencesBalanced Incomplete Block Designs (BIBD) are the designs obtained from the arrangement of symbols in blocks following established rules and satisfying relevant necessary conditions.
Manivilasam Madhusoodanan Nair +2 more
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The 3-way flower intersection problem for Steiner triple systems [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 The flower at a point x in a Steiner triple system (X; B) is the set of all triples containing x. Denote by J3F(r) the set of all integers k such that there exists a collection of three STS(2r+1) mutually intersecting in the same set of k + r triples, r ...
H. Amjadi, N. Soltankhah
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On the equivalence of authentication codes and robust (2, 2)-threshold schemes
Journal of Mathematical Cryptology, 2020 In this paper, we show a “direct” equivalence between certain authentication codes and robust threshold schemes. It was previously known that authentication codes and robust threshold schemes are closely related to similar types of designs, but direct ...
Paterson Maura B., Stinson Douglas R.
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ON THE SYMMETRIC BLOCK DESIGN WITH PARAMETERS (231,70,21) ADMITTING A GROUP OF ORDER 23
International Journal of Apllied Mathematics, 2018 In this paper we have proved that up to isomorphism there are at least eighty-six orbit structures for a putative symmetric block design D with parameters (231,70,21), admitting a group G of order 23.
M. Gashi
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The chromatic index of cyclic Steiner 2‐designs
International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 4, Page 823-825, 1982., 1982 The number of colours needed to colour the blocks of a cyclic Steiner 2‐design S(2, k, v) is at most v.
Charles J. Colbourn, Marlene J. Colbourn
wiley +1 more source
On the block structure of PBIB designs
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 1, Page 169-175, 1980., 1979 Let denote the set having any treatment θ and its n1 first associates in a PBIB design with m(≥2) associate classes. A theorem on distribution of the elements of this set among the blocks of the block design is proved and results related to certain well known association schemes of three associate classes are obtained.
M. L. Chandak
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The four known biplanes with k = 11
International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 2, Page 251-260, 1979., 1979 The four known biplanes of order 9(k = 11) are described in terms of their ovals, λ‐chain structures, and automorphism groups. An exhaustive computer search for all biplanes of order 9 with certain chain structures has produced but two, one of which is new. None of these four biplanes yield the putative plane of order 10.
Chester J. Salwach, Joseph A. Mezzaroba
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International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 2, Page 261-281, 1979., 1979 Elementary techniques of algebraic coding theory are here used to discuss the three biplanes with k = 6. These three designs are intimately related to the (16, 11) extended binary Hamming code and to one another; we systematically investigate these relationships. We also exhibit each of the three designs as difference sets.
E. F. Assmus, Jr, Chester J. Salwach
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Non-existence of quasi-symmetric designs having certain pseudo-geometric block graphs
AKCE International Journal of Graphs and CombinatoricsThe block graph of a quasi-symmetric design is strongly regular. It is a challenging problem to decide which strongly regular graphs are block graphs of quasi-symmetric designs.
Kusum S. Rajbhar, Rajendra M. Pawale
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Nonexistence of $2-(v, k, 1)$ designs admitting automorphism groups with socle $E_8(q)$
, 2015 One of the outstanding problems in combinatorial design theory is concerning the existence of 2 .v;k;1/ designs. In particular, the existence of 2 .v;k;1/ designs admitting an interesting group of automorphisms is of great interest.
Shangzhao Li
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