Электронная библиотека Попечительского совета механико-математического факультета Московского государственного университета
Hedayat A.S., Sloane N.J.A., Stufken J. - Orthogonal Arrays: Theory and Applications
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Название: Orthogonal Arrays: Theory and Applications
Авторы: Hedayat A.S., Sloane N.J.A., Stufken J.
Аннотация: This is the first book on the subject since its introduction more than fifty years ago, and it can be used as a graduate text or as a reference work. It features all of the key results, many very useful tables, and a large number of research problems. The book will be of interest to those interested in one of the most fascinating areas of discrete mathematics, connected to statistics and coding theory, with applications to computer science and cryptography. It will be useful for anyone who is running experiments, whether in a chemistry lab or a manufacturing plant (trying to make those alloys stronger), or in agricultural or medical research. Sam Hedayat is Professor of Statistics and Senior Scholar in the Department of Mathematics, Statistics, and Computer Science, University of Illinois, Chicago. Neil J.A. Sloane is with AT&T Bell Labs (now AT&T Labs). John Stufken is Professor Statistics at Iowa State University.
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Рубрика: Математика /Алгебра /Комбинаторика /
Статус предметного указателя: Готов указатель с номерами страниц
ed2k: ed2k stats
Год издания: 1999
Количество страниц: 416
Добавлена в каталог: 11.03.2005
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Предметный указатель
(t, s,m)-net 244
(u, u + v) construction 111 225 324
Abel and Cheng 140 243
Abel, Brouwer, Colbourn and Dinitz 172 194 339
Abel, Colbourn and Dinitz 195
Abelian group 113 342
Abramowitz and Stegun 254 355
Abt and Pukelsheim 302
Addelman 206
Addelman and Kempthorne 37 44 45 47 83 126 127 199 206 289 293 322
Addelman-Kempthorne construction 44 83 126 127
Additive 44
Agaian 164
Agaian and Sarukhanyan 166
Agrawal and Dey 331
Algebraic geometry code 108
Alias matrix 314
Alias relationship 279
Alphabet 61
Alternant code 108
Assemblies 2 248
Assmus and Key 101 110 156
Asymmetrical orthogonal array 6
Asymptotic bounds 228
Atkinson and Donev 163
atom 335
Atsumi 245
Automorphism group 165
Baker, van Lint and Wilson 102
Balanced array 303
Balanced orthogonal multi-array 236
Banerjee 163
Bannai and Ito 245
Baumert and McEliece 81
BCH code 93 323
Beder 33
Bennett, Brassard and Robert 244
Berlekamp 89 108
Beth, Jungnickel and Lenz 140 141 163 173 242 339
Bias matrix 314
Bierbrauer 244
Bierbrauer and Edel 323
Bierbrauer, Gopalakrishnan and Stinson 80 244
Binary code 63
Blanchard 229
Block 242
Blokh and Zyablov 323
Blokhuis, Bruen and Thas 108
Blum, Schatz and Seiden 27 30
Bose xv 61 65 98 102 192
Bose and Bush 17 18 20 21 37 113 122 123 127 322
Bose and Ray-Chaudhuri 93
Bose and Shrikhande 171
Bose, Shrikhande and Parker 171
Bound 96
Bound, asymptotic 228
Bound, Friedman 80
Bound, Gilbert - Varshamov 229
Bound, Griesmer 81
Bound, Hamming 33 78
Bound, linear programming see linear programming bound
Bound, McEliece et al. 229
Bound, Plotkin 80
Bound, Rao see Rao inequalities
Bound, Singleton 79
Bound, sphere-packing 33 78
box xvi
Box and Draper 247 303
Box and Hunter 286
Box and Meyer 302
Box, Bisgaard and Fung 302
Box, Hunter and Hunter 308
Brouwer 81 171 195 323 339
Brouwer and Verhoeff 339
Brouwer, Hamalainen, Ostergard and Sloane 339
Brown, Hedayat and Parker 172
Bruck 170
Bruen, Thas and Blokhuis 108
Buratti 243
Bush 4 24 37 38 82 96 322
Butson 140 141
Calderbank and Goethals 245
Calderbank and Kantor 102 108
Cameron and van Lint 83
Camion and Canteaut 244
Camion, Carlet, Charpin and Sendrier 244
Casse 98
Ceccherini and Tallini 108
Central composite design 303
Chacko, Dey and Ramakrishna 331
Chadjipantelis, Kounias and Moyssiadis 164
Chakravarti xvi
Chakravarty and Dey 27
Characteristic of field 343
Chebyshev polynomials 254
Chen and Hedayat 306
Chen and Lin 304
Cheng 304 306 307
Cheng and Sloane 323
Cheng and Steinberg 307
Cheng, Steinberg and Sun 306
Chipman and Hamada 307
Chopra 27 29
Chor et al. 244
Chvatal 72 76
Circulant 154
Clayman et al. 245
Cochran and Cox 247
Code xi 61
Code, algebraic geometry 108
Code, alternant 108
Code, BCH 93 323
Code, binary 63
Code, constacyclic 90
Code, Delsarte - Goethals 102
Code, dual 64 276
Code, e-error-correcting 62
Code, error-correcting 61
Code, extended 88
Code, Golay 99
Code, Hamming 49 63 91
Code, isomorphic 67
Code, Kerdock 102
Code, linear 63 276
Code, maximal distance separable see code MDS
Code, MDS 43 79 96 338
Code, nonlinear 67
Code, Nordstrom - Robinson 102 244
Code, quadratic residue 99 107
Code, quantum 84
Code, quasicyclic 90
Code, quaternary 63
Code, Reed - Muller 100
Code, Reed - Solomon 95
Code, relation 277
Code, repetition 85
Code, simple 62
Code, Srivastava 108
Code, ternary 63
Code, two-weight 108
Code, zero-sum 85
Code,Cyclic 88
Codewords 41 61
Colbourn 222 242 243
Colbourn and De Launey 140
Colbourn and Dinitz 164 245
Colbourn and Kreher 138 140
Colbourn, Dinitz and Stinson 244
Combined array 301
Common parallel transversals 172
Complement 5
Complement of perpendicular array 133
Complenientable perpendicular array 133
Complete factorial 248
Complete orthogonal array 16
Complete set of pairwise orthogonal F-squares 176
Complete set of pairwise orthogonal Latin squares 169
Completely resolvable 119
complexity 336
Component of a main-effect 253
Component of an interaction 253
Compound orthogonal array 230
Computer science vii 243
Computer search 336
Condition of proportional frequencies 290
Conference matrix 152
Confounding factorial effects with blocks 285
Constacyclic code 90
Constantine 163
Construction, (u, u + v) 111 225 324
Construction, Addelmaii - Kenipthorne 44 83 126 127
Construction, Bush 38 96
Construction, Hamming - Rao 49
Construction, juxtaposition 224 323
Construction, Paley 152
Construction, Rao - Hamming 49
Construction, X4 226
Contractive replacement method 204
contrast 250
Control factor 299
Conway and Sloane 99 105 107
Coster 307
Covering design 304
Covering radius 84
Cox 247
Cryptography vii 243
Currin et al. 306
Cyclic code 88 323
Cyclotomic coset 356
Dalai and Mallows 304
Dawson 140 141
De Launey 140 141
Deficiency of a POL(s,w) 170
Degrees of freedom 265
Delsarte xi 61 66 69-73 77 78 80 83 84 245
Delsarte and Goethals 102
Delsarte and Levenshtein 80
Dembowski 102
Denes and Keedwell 26 167 173
Denning contrast 276
Denning relation 272 275 276
Design, covering 304
Design, factorial 247
Design, t-independent 304
Design, t-surjective 304
Determinant, maximal 145 163
Developing a difference scheme 118
Dey 206 293 330 339
Dey and Midha 206 208 329
Dey and Ramakrishna 331
diamond 164
Difference scheme xi 113 206 323 338
Difference scheme of strength t 136
Difference scheme, developing 118
Difference scheme, Hadamard 148
Difference scheme, resolvable 114
Dillon, Ferragut and Gealy 181
DIMENSION 40
Dimension of a code 63 276
Dinitz and Stinson 173
Distance, Hamming 62
Distance, minimal 62 276
Dodecacode 107
Dodunekov and Manev 81
Double circulant code 324
Doyen and Rosa 339
Drake 140 141
Drug testing x
Dual array 65
Dual atom 335
Dual code 64 276
Dual distance 65 69 70
Dual weight distribution 69
Dual, formal 98
Dual, linear programming bound 75
Duckworth 84 306
Dulmage, Johnson and Mendelsohn 117 140 141
Dunietzet al. 304
Eades and Hain 163
Edel-Bierbraner 323
Ehlich 164
Ehlich and Zeller 164
Ehrenfeld 163
Elkies 84
Engel 302 312
Engel and Huele 302 312
Equivalent Hadamard matrices 147
Equivalent Latin squares 169
Erdelyi 254
Error-correcting code 41 61
Estimable 251
Estimation capacity 306
Euler 170 195
Euler conjecture 170
Expansive replacement method 203
Extended Reed - Solomon codes 41
Extension field 351
F-square 173
F-squares, complete set of 176
F-squares, mutually orthogonal 174
F-squares, orthogonal 174
F-squares, pairwise orthogonal 174 338
Factor 1
Factor control 299
Factor, levels of 1
Factor, noise 299
Factor, qualitative 248
Factor, quantitative 248
Factor, symbols for 1
Factorial experiment 247
Farmakis 163
Federer 179
Field 341
Field, Galois xi 342
Fields, isomorphic 350
Finney 49 182 330
Fisher and Yates 254
Fixed-level orthogonal array 199
Forney, Sloane and Trott 102 324
Fourer, Gay and Kernigham 78
FRACTION see fractional factorial
Fractional factorial 248 254 339
Franklin 171
Frequency square 173
Friedman bound 80
Friedman, J. 80 244
Friedman, J.H. 306
Fuji-Hara 337
Fujii, Namikawa and Yamamoto 22 109 323
Galil 163
Galil and Kiefer 163
Galois field xi 342
Ganter, Mathon and Rosa 172
Generalized Hadamard matrix 115
Generalized interaction 277
Generating contrast 285
Generating vector 88
Generator matrix 40 64 276
Generator polynomial 89
Gilbert 229
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