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Hedayat A.S., Sloane N.J.A., Stufken J. — Orthogonal Arrays: Theory and Applications
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Название: Orthogonal Arrays: Theory and ApplicationsАвторы: 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.
Язык: Рубрика: Математика /Алгебра /Комбинаторика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1999Количество страниц: 416Добавлена в каталог: 11.03.2005Операции: Положить на полку |
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(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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