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Chapter 2. Balanced Designs. 2.1 Painvise Balanced Designs. 2.2 Balanced Incomplete Block Designs. 2.3 t-Designs. Chupter 3. Some Finite Algebra. 3.1 Finite Fields. 3.2 Quadratic Elements. 3.3 Sums of Squares. Chupter 4. Difference Stvs and Difference Methods. 4.1 Difference Sets. 4.2 Properties of Difference Sets. 4.3 More General Methods. Chapter 5. Finite Geometries. 5.1 Finite Affine Planes. 5.2 Construction of Finite Affine Geometries. 5.3 Finite Projective Geometries. 5.4 Singer Difference Sets. 5.5 Ovals in Projective Planes. 5.6 The Desargues Configuration. Chapter 6. More about Bfock Designs. 6.1 Residual and Derived Designs. 6.2 The Main Existence Theorem. 6.3 Another Proof of the Existence Theorem. 6.4 Resolvability. Chupfer 7. t-Designs. 7.1 Contractions and Extensions. 7.2 Some Examples of 3-Designs. 7.3 Extensions of Symmetric Designs. 7.4 Derived t-Designs and Affine t-Designs. Chapter 8. Hudum&d Matrices. 8.1 Basic Ideas. 8.2 Hadamard Matrices and Block Designs. 8.3 Kronecker Product Constructions. 8.4 Williamson's Method. 8.5 Regular Hadamard Matrices. Chapter 9. The Vuriubifity of Hudimwd Matrices. 9.1 Equivalence of Hadamard Matn(ces. 9.2 Integral Equivalence. 9.3 Profiles. Chapter 10. Latin Squares. 10.1 Latin Squares and Subsquares. 10.2 Orthogonality. 10.3 Idempotent Latin Squares. 10.4 Transversal Designs. 10.5 Spouse-Avoiding Mixed-Doubles Toumaments. 10.6 Three Orthogonal Latin Squares. Chapter 11. One-Factors and One-Fucforizutions. 11.1 Basic Ideas. 11.2 Starters. 11.3 One-Factorizations of Complete Graphs. 11.4 One-Factorizations of K,. 11.5 An Application to Projective Planes. Chapter 12. Tripfe Sysfems. 12.1 Construction of Triple Systems. 12.2 Subsystems. 12.3 Simple Triple Systems. 12.4 Difference Triples and Cyclic Triple Systems. 12.5 Kirkman Triple Systems. Chapter 13. Room Squares. 13.1 Basic Ideas. 13.2 Starter Constructions. 13.3 Subsquare Constructions. 13.4 The Existence Theorem. 13.5 Subsquares of Room Squares. Chapter 14. Asymptofic Results on Balanced Incomplete Block Designs. 14.1 Introduction. 14.2 Designs with Large iz. 14.3 Designs in the Principal Fiber for A = 1. 14.4 Designs in Other Fibers for iz = 1.
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