Orthogonal Arrays: Theory and ApplicationsThis 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. |
Contents
IV | 1 |
V | 8 |
VI | 11 |
VII | 12 |
VIII | 17 |
IX | 22 |
X | 27 |
XI | 32 |
LVIII | 165 |
LIX | 167 |
LX | 168 |
LXI | 173 |
LXII | 183 |
LXIII | 191 |
LXIV | 196 |
LXV | 199 |
XII | 33 |
XIV | 37 |
XV | 38 |
XVI | 44 |
XVII | 49 |
XVIII | 54 |
XIX | 56 |
XXI | 61 |
XXII | 63 |
XXIII | 65 |
XXIV | 67 |
XXV | 72 |
XXVI | 82 |
XXVIII | 85 |
XXIX | 87 |
XXX | 88 |
XXXI | 91 |
XXXII | 93 |
XXXIII | 95 |
XXXIV | 96 |
XXXV | 99 |
XXXVII | 101 |
XXXVIII | 102 |
XXXIX | 103 |
XL | 105 |
XLI | 106 |
XLII | 108 |
XLIII | 109 |
XLIV | 113 |
XLV | 118 |
XLVI | 123 |
XLVII | 127 |
XLVIII | 132 |
XLIX | 138 |
L | 140 |
LI | 141 |
LII | 145 |
LIII | 146 |
LIV | 148 |
LVI | 155 |
LVII | 163 |
LXVI | 201 |
LXVII | 203 |
LXVIII | 211 |
LXIX | 219 |
LXX | 220 |
LXXI | 223 |
LXXII | 224 |
LXXIII | 225 |
LXXIV | 226 |
LXXV | 228 |
LXXVII | 230 |
LXXVIII | 236 |
LXXIX | 242 |
LXXX | 245 |
LXXXI | 246 |
LXXXII | 247 |
LXXXIII | 249 |
LXXXIV | 251 |
LXXXV | 258 |
LXXXVI | 272 |
LXXXVII | 282 |
LXXXVIII | 288 |
LXXXIX | 298 |
XC | 302 |
XCI | 305 |
XCII | 308 |
XCIII | 317 |
XCIV | 318 |
XCV | 324 |
XCVI | 336 |
XCVII | 338 |
XCVIII | 339 |
XCIX | 341 |
C | 344 |
CI | 351 |
CII | 357 |
CIII | 359 |
CIV | 363 |
| 406 | |
| 411 | |
Other editions - View all
Orthogonal Arrays: Theory and Applications A.S. Hedayat,N.J.A. Sloane,John Stufken Limited preview - 2012 |
Orthogonal Arrays: Theory and Applications A.S. Hedayat,N.J.A. Sloane,John Stufken No preview available - 2012 |
Common terms and phrases
A₁ array of strength BCH codes binary blocks Bose C₁ Chapter codewords coding theory Colbourn columns components construction Corollary corresponding cyclic code denote designs dual code entries equal error-correcting codes estimable Example exists F-squares factorial effects factorial experiments fractional factorial Galois field GF(p Hadamard matrices Hamming code Hedayat index unity integer irreducible polynomial k₁ labeled Lemma level combinations linear code linear programming linear programming bound MacWilliams and Sloane Math matrix of order maximal number method minimal distance mixed orthogonal arrays multiple nonzero notation number of factors number of levels number of runs OA(N obtained orthogonal arrays orthogonal Latin squares orthogonal main-effects plan POL(s polynomial possible prime power primitive element properties quadratic residue Rao bound Rao-Hamming Reed-Muller code Research Problem result rows Section squares of order Statist Stufken subarray sum of squares symbols Theorem values vector verify Wang and Wu