Index

aﬃne plane, 20

coordinatized, 23

order, 21

automorphism

design, 40

bases

mutually unbiased, 263

binary sequence

autocorrelation, 255

correlation, 254

pseudorandom, 256

binary sequence of period v, 253

block

repeated, 12

block design, 15

balanced incomplete, 15

Bruck-Ryser-Chowla Theorem, 72

Burnside’s Lemma, 40

centralizer, 40, 269

character, 198

degree, 198

Fundamental Theorem, 203

irreducible, 198

orthogonality relations, 224

sum, 199

trivial, 198

character table, 228

class equation, 109

class function, 202

space of, 202

code

linear, 261

commutator, 269

commutator subgroup, 220, 269

complete graph, 15

conjugacy class, 269

conjugation, 38

coordinatized projective plane, 32

cyclotomic classes, 149

order, 149

cyclotomic field, 235

cyclotomic integers, 235

design

automorphism, 40, 94

block, 15

complement, 17

complete, 15

isomorphic, 67

parameters, 16, 26

symmetric, 26

t-design, 14

difference list, 108

difference set, 46

complement, 60

cyclotomic, 144

development, 54

equivalent, 65

293