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Ionin Y.J., Shrikhande M.S. — Combinatorics of Symmetric Designs |
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Предметный указатель |
-RDS 314
-net 106
-design 154
-difference set 294
-graph 234
-subdesign 407
-design 24
111
67 117
78
16
171
215
19
16
16
17
16
16
16
16
60
60
-graph 246
199
199
16
16
16
19
20
214
214
215
81
215
17
208
201
201
201
19
84
-arc 428
-design 13
-linked design 13
16
16
131
-circulant matrix 339
87
61 72
(a, m, t)-BS 307
(a, m,h, +)-EBS 308
(a, m,h, -)-EBS 308
(c, A)-central collineation 75
(c, A)-desarguesian plane 108
(c, A)-elation 75
(c, A)-homology 75
(c, A)-perspectivity 75
(c, A)-transitive plane 108
(n, m, d)-code 98
(n, r)-net 63
0 16
2- design 28
a, b, x 16
Abelian difference set 294
Absolute point 233
Action of a group 39
Adjacency matrix 20 240
Adjacent vertices 19 240
Affine -resolvable PBD 161
Affine geometry 78
Affine plane 61
Affine resolution 157
AG(n, q) 78
Alphabet 97
Amicable Hadamard matrices 151
Arc of digraph 239
Arc of symmetric design 428
Ascendant 230
Association matrix 248
Association scheme 247
Aut(D) 39
Automorphism group 39
Automorphism of design 39
Axis of collineation 74
Baer partition 412
Baer subdesign 408
Baer subplane 209 408
Balanced generalized weighing matrix 323
Balanced incomplete block design 57
Balanced weighing matrix 366
Balanced weighing system 366
Base blocks 42
BGW 323
BGW with classical parameters 331
BGW 323
BH-design 283
Bhattacharya's Example 33
BIBD 57
Binary code 98
Binary Golay code 199
Bipartite graph 19
Biplane 287
Birkhoff theorem 54
Block 14
Block circulant matrix 290
Block complementation 448
Block derived substructure 16
Block graph 252
Block intersection 57
Block schematic design 250
Block section 57
Block set 14
Block size 14
Block-residual substructure 16
Bose — Mesner algebra 249
Bose — Shrikhande-Parker Theorem 68
Bose — Shrikhande-Singhi Theorem 255
Bose's Inequality 156
Bruck subdesign 420
Bruck — Ryser Theorem 74
Bruck — Ryser-Chowla Theorem 37
Building block 307
Building set 307
Burnside lemma 40
Bush-type Hadamard matrix 130
Cameron — Delsarte Theorem 272
Cameron's Theorem 196
Cardinality of a block 14
Cayley table 105
Center of collineation 74
Central collineation 75
Chang graphs 227
Character group 320
Character of group 296
Character of group ring 296
Characteristic polynomial of graph 21
Chen difference set 313
Circulant matrix 290
Class graph 274
Clebsch graph 214
CLIQUE 19
Coclique 19
Codeword 98
Collineation 74 84
Complement of graph 20
Complementary incidence structure 17
Complete block 14
| Complete design 25
Complete graph 19
Complete multipartite graph 20
Conference matrix 119
Conjugate element 296
Conjugate matrices 323
Connected component 20
Connected graph 20
Core of BGW matrix 347
Core of conference matrix 120
Covering extended building set 308
CYCLE 19
Cyclic design 401
Cyclic difference set 294
Cyclotomic difference set 300
Cyclotomic scheme 249
D' 17
d-flat 77
Davis — Jedwab difference set 312
de Bruijn — Erdos theorem 452
Degree 19
Degree of net 63
Dembowski — Wagner Theorem 90
Derived design 32
Derived substructure 16
Desargues theorem 85 108
Desarguesian plane 85
Descendant 230
Development of subset 294
Difference set 294
Directed graph, digraph 239
Direction 107
Disjoint union of graphs 20
Divisible difference set 320
Dodecad 208
Dominating vertex 240
Doubly regular tournament 246
Dual code 100
Dual incidence structure 17
EDGE 19
Eigenspace 21
Eigenvalue 21
Eigenvector 21
Elementary Abelian group 60
Embeddable design 254
Embeddable PBD 173
Embeddable quasi-derived design 443
Embeddable quasi-residual design 33
Equidistant code 144
Equidistant family of sets 9
Equivalent codes 98
Equivalent Hadamard matrices 114
Error-correcting code 98
Extended binary Golay code 199
Extension of field 59
Extension of t-design 195
Faithful action 39
Fano plane 5
First Ray — Chaudhuri — Wilson Inequality 3
Fisher's Inequality 26
Fixed block 39
Fixed point 39
Flag 14
Frobenius automorphism 60
Full automorphism group 39
Full collineation group 74
Fundamental theorem of projective geometry 84
G-invariant matrix 289
G-orbit 39
Gaussian coefficient 76
Generalized Bhaskar Rao design 367
Generalized conference matrix 328
Generalized Hadamard matrix 325
Generalized weighing matrix 366
Generator matrix 100
Gewirtz graph 234
GF(q) 59
GH 325
GL(n, q) 108
Global decomposition 369
GMW-difference set 317
Gordon — Mills — Welch difference set 317
Graph 19
Group divisible designs 320
Group invariant matrix 289
Group of rotations 342
Group of symmetries 302 341 392
Group ring 292
Hadamard 2-design 115 193
Hadamard 3-design 116 187 193
Hadamard difference set 313
Hadamard family 10
Hadamard matrix 9 113
Hadamard product 117
Hadamard series 115 488
Hadamard system 366
Hadamard-Menon difference set 321
Hall — Connor Theorem 254
Hamming Bound Theorem 99
Hamming code 101
Hamming distance 8
Hamming scheme 248
Hamming space 97
Hasse invariant 37
Higman — Sims graph 244
Higman — Sims group 211
Hilbert symbol 35
Hoffman — Singleton graph 221 245
Hyperoval 209
Hyperplane 78
i 16
Incidence matrix 14
Incidence relation 14
Incidence structure 14
Inclusion-Exclusion Principle 187
Independent subdesigns 427
Index of BGW matrix 324
Index of PBD 154
Index of Ryser design 8 447
Induced subgraph 19
Inner product 100
Integrality Condition 220
Intersecting lines 62
Intersection number 3 188
Inversion formula 320
Isomorphic structures 17
j 16
Johnson scheme 248
Kernel of nearfield 328
Kronecker product 117
Kronecker product over group 341
Ladder graph 19
Large Witt designs 198
Latin square 64
Latin square graph 214
Left nearfield 327
Legendre symbol 34
Length of walk 20
Levi graph 19
Line 61 62 72 78 86
Linear code 99
Local decomposition 392
m block nonembeddability condition 431
M-arc 424
M-partition 273
Mann's inequality 54
Maximal decomposition 288
Maximal equidistant code 183
McFarland difference set 311
Mean distance 182
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