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November 2018 Two existence results between an affine resolvable SRGD design and a difference scheme
Satoru Kadowaki, Sanpei Kageyama
Hiroshima Math. J. 48(3): 363-371 (November 2018). DOI: 10.32917/hmj/1544238033

Abstract

The existence of affine resolvable block designs has been discussed since 1942 in the literature (cf. Bose (1942), Clatworthy (1973), Raghavarao (1988)). Kadowaki and Kageyama (2009, 2010, 2012) obtained a number of results on combinatorics for the existence of an affine resolvable SRGD design. In this paper, a new existence result is shown as a generalization of Theorem 3.3.3 given in Kadowaki and Kageyama (2009, 2010). Furthermore, another existence result is shown as a conditional converse of Theorem 3.3.3 and also a generalization of Theorem 3.3.4, both theorems given in Kadowaki and Kageyama (2009, 2010).

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Satoru Kadowaki. Sanpei Kageyama. "Two existence results between an affine resolvable SRGD design and a difference scheme." Hiroshima Math. J. 48 (3) 363 - 371, November 2018. https://doi.org/10.32917/hmj/1544238033

Information

Received: 30 June 2017; Revised: 7 June 2018; Published: November 2018
First available in Project Euclid: 8 December 2018

zbMATH: 07032363
MathSciNet: MR3885267
Digital Object Identifier: 10.32917/hmj/1544238033

Subjects:
Primary: 05B05, 51E05, 62K10

Rights: Copyright © 2018 Hiroshima University, Mathematics Program

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Vol.48 • No. 3 • November 2018
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