Orthogonal Designs: Hadamard Matrices, Quadratic Forms and Algebras

1 Orthogonal Designs.- 2 Non-existence Results.- 3 Algebraic Theory of Orthogonal Designs.- 4 Orthogonal Designs Constructed via Plug-in Matrices.- 5 Amicable Orthogonal Designs.- 6 Product Designs and Repeat Designs (Gastineau-Hills).- 7 Techniques.- 8 Robinson's Theorem.- 9 Hadamard Matrices and Asymptotic Orthogonal Designs.- 10 Complex, Quaternion and Non Square Orthogonal Designs.- Appendix: A Orthogonal Designs in Order 12 , 24 , 48 and 3 .q .- B Orthogonal Designs in Order 20, 40 and 80.- C Orthogonal Designs in Order 28 and 56.- D Orthogonal Designs in Order 36, 72.- E Orthogonal Designs in order 44.- F Orthogonal Designs in Powers of 2.- G Some Complementary Sequences.- H Product Designs.- References.