On the twin designs with the Ionin-type parameters.
Kharaghani, H. (2000)
The Electronic Journal of Combinatorics [electronic only]
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Kharaghani, H. (2000)
The Electronic Journal of Combinatorics [electronic only]
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Ionin, Yuri J. (1998)
The Electronic Journal of Combinatorics [electronic only]
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Akiyama, Kenzi, Ogawa, Masayuki, Suetake, Chihiro (2009)
The Electronic Journal of Combinatorics [electronic only]
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H. Brzeskwiniewicz (1991)
Applicationes Mathematicae
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Bronisław Ceranka, Maria Kozłowska (1991)
Applicationes Mathematicae
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Ionin, Yury J. (2001)
The Electronic Journal of Combinatorics [electronic only]
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E. Pap (1974)
Matematički Vesnik
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Landjev, Ivan, Topalova, Svetlana (1998)
Serdica Mathematical Journal
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∗ This work has been partially supported by the Bulgarian NSF under Contract No. I-506/1995. In this note we construct five new symmetric 2-(61,16,4) designs invariant under the dihedral group of order 10. As a by-product we obtain 25 new residual 2-(45,12,4) designs. The automorphism groups of all new designs are computed.
U. Bronowicka-Mielniczuk, J. Mielniczuk, T. Przybysz (2000)
Applicationes Mathematicae
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The present article is a continuation of previous papers by the same authors devoted to the efficiency of crop rotation experiments. We focus on plans distinguished by the cyclical pattern of the incidence matrix. For practical reasons, we slightly modify the efficiency coefficient. The relation between the resulting efficiency coefficients is examined. In addition, we provide a background material on crop rotation experiments.
Bronisław Ceranka, Małgorzata Graczyk (2003)
Kybernetika
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The paper studies the estimation problem of individual weights of objects using a chemical balance weighing design under the restriction on the number times in which each object is weighed. Conditions under which the existence of an optimum chemical balance weighing design for objects implies the existence of an optimum chemical balance weighing design for objects are given. The existence of an optimum chemical balance weighing design for objects implies the existence of an optimum...
Ryszard Walkowiak (2015)
Biometrical Letters
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This paper considers block designs and row-column designs where the information matrix C has two different nonzero eigenvalues, one of multiplicity 1 and the other of multiplicity h−1, where h is the rank of the matrix C. It was found that for each such design there exists a diagonal positive definite matrix X such that the design is X −1-balanced.