Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/146670
Title: On the Smith normal form of a skew-symmetric D-optimal design of order n≡2 (mod4)
Authors: Greaves, Gary Royden Watson
Suda, Sho
Keywords: Science::Mathematics
Issue Date: 2018
Source: Greaves, G. R. W., & Suda, S. (2019). On the Smith normal form of a skew-symmetric D-optimal design of order n≡2 (mod4). Journal of Combinatorial Designs, 27(3), 123-141. doi:10.1002/jcd.21626
Project: RG127/16
Journal: Journal of Combinatorial Designs
Abstract: We show that the Smith normal form of a skew‐symmetric D‐optimal design of order n≡2 (mod 4) is determined by its order. Furthermore, we show that the Smith normal form of such a design can be written explicitly in terms of the order n, thereby proving a recent conjecture of Armario. We apply our result to show that certain D‐optimal designs of order n≡2(mod 4)are not equivalent to any skew‐symmetric D‐optimal design. We also provide a correction to a result in the literature on the Smith normal form of D‐optimal designs.
URI: https://hdl.handle.net/10356/146670
ISSN: 1063-8539
DOI: 10.1002/jcd.21626
Rights: This is the peer reviewed version of the following article: Greaves, G. R. W., & Suda, S. (2019). On the Smith normal form of a skew-symmetric D-optimal design of order n≡2 (mod4). Journal of Combinatorial Designs, 27(3), 123-141, which has been published in final form at https://doi.org/10.1002/jcd.21626. This article may be used for non-commercial purposes in accordance with the Wiley Terms and Conditions for Use of Self-Archived Versions.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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