S. Addelman and O. Kempthorne, Some main-effect plans and orthogonal arrays of strength two, Ann. Math. Statist, vol.32, pp.1167-1176, 1961.

R. A. Bailey, Patterns of confounding in factorial designs, Biometrika, vol.64, pp.597-603, 1977.

R. A. Bailey, Factorial design and Abelian groups, Linear Algebra Appl, vol.70, pp.349-368, 1985.

R. A. Bailey, Design of Comparative Experiments, Cambridge Series in Statistical and Probabilistic Mathematics, 2008.

R. A. Bailey, F. H. Gilchrist, and H. D. Patterson, Identification of effects and confounding patterns in factorial designs, Biometrika, vol.64, pp.347-354, 1977.

R. C. Bose, Mathematical theory of the symmetrical factorial design, vol.8, pp.107-166, 1947.

R. C. Bose and K. A. Bush, Orthogonal arrays of strength two and three, Ann. Math. Statist, vol.23, pp.508-524, 1952.

G. E. Box and J. S. Hunter, The 2 k?p fractional factorial designs. Part I, Technometrics, vol.3, pp.311-351, 1961.

G. E. Box and J. S. Hunter, The 2 k?p fractional factorial designs. Part II, Technometrics, vol.3, pp.449-458, 1961.

C. Cheng, Theory of Factorial Design: Single-and Multi-Stratum Experiments, 2014.

C. Cheng and R. Mukerjee, Regular fractional factorial designs with minimum aberration and maximum estimation capacity, Ann. Statist, vol.26, pp.2289-2300, 1998.

C. Cheng and P. Tsai, Templates for design key construction, Statist. Sinica, vol.23, pp.1419-1436, 2013.

W. G. Cochran and G. M. Cox, Experimental Designs, second ed, 1957.

D. J. Finney, The fractional replication of factorial experiments, Ann. Eugenics, vol.12, pp.291-301, 1945.

R. A. Fisher, The theory of confounding in factorial experiments in relation to the theory of groups, Ann. Eugenics, vol.11, pp.341-353, 1942.

M. F. Franklin, Selecting defining contrasts and confounded effects in p n?m factorial experiments, Technometrics, vol.27, pp.165-172, 1985.

M. F. Franklin, R. A. Bailey, A. Fries, and W. G. Hunter, Selection of defining contrasts and confounded effects in two-level experiments, Technometrics, vol.26, pp.601-608, 1977.

U. Grömping, R package FrF2 for creating and analyzing fractional factorial 2-level designs, J. Stat. Softw, vol.56, pp.1-56, 2014.

U. Grömping and R. A. Bailey, Regular fractions of factorial arrays. MODA 11-Advances in Model-Oriented Design and Analysis, pp.143-151, 2016.

U. Grömping and X. Hu, Generalized resolution for orthogonal arrays, Ann. Statist, vol.42, pp.918-939, 2014.

A. S. Hedayat, N. J. Sloane, and J. Stufken, Orthogonal Arrays, 1999.

O. Kempthorne, The Design and Analysis of Experiments, 1952.

A. Kobilinsky, Confounding in relation to duality of finite Abelian groups, Linear Algebra Appl, vol.70, pp.321-347, 1985.

A. Kobilinsky, PLANOR: program for the automatic generation of regular experimental designs. Version 2.2 for Windows, 2005.

A. Kobilinsky, A. Bouvier, and H. Monod, PLANOR: an R package for the automatic generation of regular fractional factorial designs. Version 1.0, 2012.

A. Kobilinsky and H. Monod, Experimental design generated by group morphisms: an introduction, Scand. J. Statist, vol.18, pp.119-134, 1991.

A. Kobilinsky and H. Monod, Juxtaposition of regular factorial designs and the complex linear model, Scand. J. Statist, vol.22, pp.223-254, 1995.

W. F. Kuhfeld, R. D. Tobias, and W. Ledermann, Large factorial designs for product engineering and marketing research applications, Technometrics, vol.47, pp.132-141, 1977.

S. M. Lewis, Generators for asymmetrical factorial experiments, J. Statist. Plann. Inference, vol.6, pp.59-64, 1982.

H. Monod and R. A. Bailey, Pseudofactors: normal use to improve design and facilitate analysis, Appl. Stat, vol.41, pp.317-336, 1992.

H. Monod, A. Bouvier, and A. Kobilinsky, A quick guide to PLANOR, an R package for the automatic generation of regular factorial designs, 2012.

M. D. Morris, Design of Experiments, 2011.

R. Mukerjee and C. F. Wu, A Modern Theory of Factorial Designs, Springer Series in Statistics, 2006.

H. D. Patterson, The factorial combination of treatments in rotation experiments, J. Agric. Sci, vol.65, pp.171-182, 1965.

H. D. Patterson, Generation of factorial designs, J. R. Stat. Soc. Ser. B Stat. Methodol, vol.38, pp.175-179, 1976.

H. D. Patterson and R. A. Bailey, Design keys for factorial experiments, Appl. Stat, vol.27, pp.335-343, 1978.

R. Payne, A Guide to Anova and Design in GenStat©, 2012.

G. Pistone and M. Rogantin, Indicator function and complex coding for mixed fractional factorial designs, J. Statist. Plann. Inference, vol.138, pp.787-802, 2008.

T. P. Ryan, SAS/QC©9.2: User's Guide, second ed. SAS Institute Inc., Cary, NC. The GAP Group, Wiley Series in Probability and Statistics, 2007.

D. T. Voss, Single-generator generalized cyclic factorial designs as pseudofactor designs, Ann. Statist, vol.16, pp.1723-1726, 1988.

D. T. Voss, Comparing the classes of single replicate generalized cyclic designs with and without pseudofactors, J. Statist. Plann. Inference, vol.35, pp.113-120, 1993.

F. Yates, The principles of orthogonality and confounding in replicated experiments, J. Agric. Sci, vol.23, pp.108-145, 1933.

F. Yates, The Design and Analysis of Factorial Experiments, Harpenden: Imperial Bureau of Soil Science, 1937.