On Orthogonal Arrays

DOI10.1214/aoms/1177699280zbMath0147.19002OpenAlexW1968416356MaRDI QIDQ5525092

Esther Seiden, Rita Zemach

Publication date: 1966

Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoms/1177699280

zbMATH Keywords

orthogonal arrays

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Factorial statistical designs (62K15)

Related Items (31)

Design catalog based on minimum \(G\)-aberration ⋮ Further investigations on balanced arrays ⋮ Further contributions to nonisomorphic two level orthogonal arrays ⋮ Nonexistence of binary orthogonal arrays via their distance distributions ⋮ Cyclic orthogonal and balanced arrays ⋮ On difference schemes and orthogonal arrays of strength \(t\) ⋮ Construction of orthogonal arrays of strength three by augmented difference schemes ⋮ Construction of optimal fractional factorial resolution V designs with N\(\equiv 2\,mod\,16\) observations ⋮ Orthogonal arrays of strength five ⋮ Covering schemes of strength \(t\) ⋮ Unnamed Item ⋮ Quantum \(k\)-uniform states from quantum orthogonal arrays ⋮ Construction of minimum generalized aberration two-level orthogonal arrays ⋮ Orthogonal arrays obtainable as solutions to linear equations over finite fields ⋮ Orthogonal plans of resolution IV and V ⋮ Nonexistence of (9, 112, 4) and (10, 224, 5) binary orthogonal arrays ⋮ A construction of \(\mathrm{OA}(s^t,t+1,s,t)\) by nonlinear functions and some classification for \(s=4\) ⋮ \(D\)-optimal and near \(D\)-optimal \(2^k\) fractional factorial designs of resolution V ⋮ Nonexistence of a few binary orthogonal arrays ⋮ Classification of orthogonal arrays by integer programming ⋮ Complete enumeration of pure-level and mixed-level orthogonal arrays ⋮ Construction of nested orthogonal arrays ⋮ On two level symmetrical factorial designs ⋮ A note on an upper bound for the constraints of balancedarrays with strength t ⋮ On the \(\mathrm{OA}(1536,13,2,7)\) and related orthogonal arrays ⋮ Complete enumeration of two-level orthogonal arrays of strength \(d\) with \(d+2\) constraints ⋮ Serially balanced factorial sequences ⋮ On unbalanced Boolean functions with best correlation immunity ⋮ Some general existence conditions for balanced arrays of strength \(t\) and 2 symbols ⋮ Further results on 2-uniform states arising from irredundant orthogonal arrays ⋮ On arrays with some combinatorial structure

This page was built for publication: On Orthogonal Arrays