New light on certain two level designs using Gröbner bases

DOI10.1080/09720529.2006.10698065zbMath1096.05011OpenAlexW2158287526MaRDI QIDQ5473098

Haralambos Evangelaras, Christos Koukouvinos

Publication date: 19 June 2006

Published in: Journal of Discrete Mathematical Sciences and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720529.2006.10698065

zbMATH Keywords

Gröbner basisHadamard matricesleading termsidealsexperimental designinequivalent projectionsdivisibility conditiondistinct runs

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Factorial statistical designs (62K15)

Related Items (4)

On generalized projectivity of two-level screening designs ⋮ Further contributions to nonisomorphic two level orthogonal arrays ⋮ Non-isomorphic orthogonal arrays obtained by juxtaposition ⋮ Projection properties of two-level supersaturated designs constructed from Hadamard designs using Lin's method

Uses Software

• CoCoA
• Maple

Cites Work

• Unnamed Item
• Unnamed Item
• Inequivalent projections of Hadamard matrices of orders 16 and 20
• An algebraic computational approach to the identifiability of Fourier models.
• Classification of two-level factorial fractions
• The applications of computational algebraic geometry to the analysis of designed experiments: a case study
• Generalised confounding with Grobner bases

This page was built for publication: New light on certain two level designs using Gröbner bases