Table for CAN(6,k,11) for k up to 10000

Locate the k in the first column that is at least as large as the number of factors in which you are interested. Then let N be the number of rows (tests) given in the second column. A CA(N;6,k,11) exists according to a construction in the reference (cryptically) given in the third column. The accompanying graph plots N vertically against log k (base 10).

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k N Source 12 1771561 orthogonal array 13 3382071 extend by one factor 14 4826807 fuse symbols 15 7901417 extend by one factor 24 8696754 Martirosyan-Tran van Trung 25 11916564 extend by one factor 26 16587274 extend by one factor 28 22544964 Martirosyan-Tran van Trung 30 27949390 Martirosyan-Tran van Trung 33 28344961 perfect hash family 34 29330147 Martirosyan-Tran van Trung 36 29857025 Martirosyan-Tran van Trung 38 30500987 Martirosyan-Tran van Trung 40 31086407 Martirosyan-Tran van Trung 42 31671827 Martirosyan-Tran van Trung 44 32257247 Martirosyan-Tran van Trung 46 32725583 Martirosyan-Tran van Trung 48 38766603 Martirosyan-Tran van Trung 49 46379813 extend by one factor 50 53993023 extend by one factor 65 54113121 perfect hash family 66 61726331 extend by one factor 67 69339541 extend by one factor 68 76952751 extend by one factor 72 77577038 Martirosyan-Tran van Trung 76 78320220 Martirosyan-Tran van Trung 80 78995840 Martirosyan-Tran van Trung 84 79671460 Martirosyan-Tran van Trung 88 80347080 Martirosyan-Tran van Trung 92 80887576 Martirosyan-Tran van Trung 96 88247596 Martirosyan-Tran van Trung 97 95860806 extend by one factor 98 98776906 Martirosyan-Tran van Trung 99 106390116 extend by one factor 100 108493256 Martirosyan-Tran van Trung 104 116016354 Martirosyan-Tran van Trung 112 116776254 Martirosyan-Tran van Trung 128 117708674 Martirosyan-Tran van Trung 130 117798874 Martirosyan-Tran van Trung 131 125678284 extend by one factor 132 133557694 extend by one factor 530 139148049 Power 24^2 531 155546959 extend by one factor 532 171945869 extend by one factor 533 188344779 extend by one factor 625 190665009 Power 25^2 626 208273919 extend by one factor 627 225882829 extend by one factor 628 243491739 extend by one factor 629 261100649 extend by one factor 630 278709559 extend by one factor 631 296318469 extend by one factor 632 313927379 extend by one factor 704 318266282 Martirosyan-Tran van Trung 764 318871282 Martirosyan-Tran van Trung 768 318925402 Martirosyan-Tran van Trung 812 318961482 Martirosyan-Tran van Trung 860 319051682 Martirosyan-Tran van Trung 864 319132862 Martirosyan-Tran van Trung 908 319141882 Martirosyan-Tran van Trung 968 319232082 Martirosyan-Tran van Trung 976 319474082 Martirosyan-Tran van Trung 1060 320562742 Martirosyan-Tran van Trung 1061 338171652 extend by one factor 1062 343749752 Martirosyan-Tran van Trung 1063 361358662 extend by one factor 1064 366936762 Martirosyan-Tran van Trung 1066 383518592 Martirosyan-Tran van Trung 1084 385838822 Martirosyan-Tran van Trung 1088 385892942 Martirosyan-Tran van Trung 1100 386004262 Martirosyan-Tran van Trung 1144 396410625 Martirosyan-Tran van Trung 1152 396985425 Martirosyan-Tran van Trung 1156 397337205 Martirosyan-Tran van Trung 1200 397346225 Martirosyan-Tran van Trung 1232 409228062 Martirosyan-Tran van Trung 1250 410055362 Martirosyan-Tran van Trung 1251 427664272 extend by one factor 1682 443405565 linear hash family 1850 451601445 linear hash family 1852 458158149 linear hash family 1853 482504779 extend by one factor 1854 506851409 extend by one factor 1855 531198039 extend by one factor 1936 539588235 Martirosyan-Tran van Trung 1952 540072235 Martirosyan-Tran van Trung 2120 542249555 Martirosyan-Tran van Trung 2210 542732429 linear hash family 2211 569352099 extend by one factor 2212 595971769 extend by one factor 2213 622591439 extend by one factor 2288 633121998 Martirosyan-Tran van Trung 2304 634271598 Martirosyan-Tran van Trung 2312 634975158 Martirosyan-Tran van Trung 2400 634993198 Martirosyan-Tran van Trung 2464 646875035 Martirosyan-Tran van Trung 2500 648529635 Martirosyan-Tran van Trung 2501 675659045 extend by one factor 2662 681879838 Martirosyan-Tran van Trung 2684 686831158 Martirosyan-Tran van Trung 2816 687499518 Martirosyan-Tran van Trung 2860 688104518 Martirosyan-Tran van Trung 2904 688446882 Martirosyan-Tran van Trung 2948 708151182 Martirosyan-Tran van Trung 2992 708324410 Martirosyan-Tran van Trung 3056 708852278 Martirosyan-Tran van Trung 3072 708906398 Martirosyan-Tran van Trung 3124 708942478 Martirosyan-Tran van Trung 3146 710035042 Martirosyan-Tran van Trung 3168 714433558 Martirosyan-Tran van Trung 3212 719078158 Martirosyan-Tran van Trung 3248 743697341 Martirosyan-Tran van Trung 3364 743787541 Martirosyan-Tran van Trung 3388 751983421 Martirosyan-Tran van Trung 3725 757583681 linear hash family 3726 789568491 extend by one factor 3727 821553301 extend by one factor 5121 850348801 perfect hash family 6771 875150641 perfect hash family 10000 876922201 perfect hash family

Graph: