Table for CAN(5,k,11) for k up to 10000

Last Updated Sat Nov 16 07:54:02 MST 2019

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;5,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 161051 orthogonal array

13 306130 extended OA (Colbourn)

15 307461 4-Restricted SCPHF RE (CL)

16 320771 3-Restricted SCPHF RE (CL)

17 321981 2-Restricted SCPHF RE (CL)

26 468501 4-Restricted SCPHF RE (CL)

28 481811 3-Restricted SCPHF RE (CL)

29 483131 SCPHF Random Extension (CLS)

38 614911 4,4-Restricted SCPHF RE (CL)

39 628221 4,3-restricted SCPHF RE (CL)

42 629541 4-Restricted SCPHF RE (CL)

44 641531 3,3-Restricted SCPHF RE (CL)

46 642741 3,2-restricted SCPHF RE (CL)

47 642851 3-Restricted SCPHF RE (CL)

61 775951 4,4-Restricted SCPHF RE (CL)

69 790581 4-Restricted SCPHF RE (CL)

77 803891 3-Restricted SCPHF RE (CL)

79 805101 2-Restricted SCPHF RE (CL)

90 922361 4,4,4-Restricted SCPHF RE (CL)

100 936991 4,4-Restricted SCPHF RE (CL)

109 951621 4-Restricted SCPHF RE (CL)

120 964931 3-Restricted SCPHF RE (CL)

125 966141 2-Restricted SCPHF RE (CL)

127 966301 CPHF Random Extension (CLS)

147 1083401 4,4,4-Restricted SCPHF RE (CL)

161 1098031 4,4-Restricted SCPHF RE (CL)

182 1112661 4-Restricted SCPHF RE (CL)

196 1125971 3-Restricted SCPHF RE (CL)

209 1127181 2-Restricted SCPHF RE (CL)

228 1244441 4,4,4-Restricted SCPHF RE (CL)

248 1259071 4,4-Restricted SCPHF RE (CL)

289 1273701 4-Restricted SCPHF RE (CL)

328 1287011 3-Restricted SCPHF RE (CL)

332 1288221 2-Restricted SCPHF RE (CL)

340 1288331 SCPHF Random Extension (CLS)

342 1288401 CPHF Random Extension (CLS)

389 1405481 4,4,4-Restricted SCPHF RE (CL)

425 1420111 4,4-Restricted SCPHF RE (CL)

472 1434741 4-Restricted SCPHF RE (CL)

505 1448051 3-Restricted SCPHF RE (CL)

524 1449261 2-Restricted SCPHF RE (CL)

529 1449371 SCPHF Random Extension (CLS)

533 1449451 CPHF Random Extension (CLS)

614 1566521 4,4,4-Restricted SCPHF RE (CL)

680 1581151 4,4-Restricted SCPHF RE (CL)

730 1595781 4-Restricted SCPHF RE (CL)

827 1609091 3-Restricted SCPHF RE (CL)

828 2287901 Add 1 factors

829 2700511 Add 2 factors

830 2846921 Add 3 factors

838 2993331 Add 11 factors

839 3672141 Add 11 factors

840 3896051 Add 13 factors

841 4231161 Add 11 factors

849 4377571 Add 11 factors

862 4611560 perfect hash family3,1017,679T155

867 4611670 perfect hash family3,1017,679T150

871 4611750 perfect hash family3,1017,679T146

887 4640820 perfect hash family3,1092,729T205

892 4640930 perfect hash family3,1092,729T200

896 4641010 perfect hash family3,1092,729T196

917 4666230 perfect hash family3,1239,827T322

936 4667440 perfect hash family3,1239,827T303

941 4667550 perfect hash family3,1239,827T298

945 4667630 perfect hash family3,1239,827T294

952 4728820 perfect hash family3,1017,679T65

1018 4743450 perfect hash family3,1018,680

1043 4772710 perfect hash family3,1092,729T49

1093 4787340 perfect hash family3,1093,730

1142 4813960 perfect hash family3,1239,827T97

1239 4827270 perfect hash family3,1239,827

1240 5506080 Add 1 factors

1247 5615370 Power N-CT43^2T14

1339 5621970 Power N-CT41^2Trin3,3,3

1363 5625930 Power N-CT47^2T18

1374 5635280 Power N-CT41^2Trin2,3,3

1444 5636600 Power N-CT41^2T3T3

1482 5649910 Power N-CT41^2T3T2

1558 5651230 Power N-CT41^2T3

1599 5664540 Power N-CT41^2T2

1682 5665860 Power N-CT41^2+1

1683 5725810 Power N-CT43^2Arc(4)

1723 5737800 Power N-CT43^2Arc(3)

1764 5749790 Power N-CT43^2T1T1

1786 5757710 Power N-CT47^2T9

1806 5761780 Power N-CT43^2T1

1809 5770910 Power N-CT47^2Trin1,3,5

1848 5771020 Power N-CT47^2T5T3

1851 5772010 Power N-CT47^2Arc(3)T5

1891 5772120 Power N-CT47^2Arc(2)T5

1932 5772230 Power N-CT47^2T5T1

1974 5772340 Power N-CT47^2T5

1981 5784110 Power N-CT47^2Arc(2)T3

2024 5784220 Power N-CT47^2T3T1

2068 5784330 Power N-CT47^2T3

2071 5785320 Power N-CT47^2Arc(3)

2116 5785430 Power N-CT47^2T1T1

2162 5785540 Power N-CT47^2T1

2209 5785650 Power N-CT47^2

2360 6178190 perfect hash family4,3125,625T153

2525 6191500 perfect hash family4,3125,625T120

2620 6192710 perfect hash family4,3125,625T101

2645 6192820 perfect hash family4,3125,625T96

2665 6192900 perfect hash family4,3125,625T92

3070 6309970 perfect hash family4,3125,625T11

3125 6324600 perfect hash family4,3125,625

3149 6967490 Power N-CT67^2T20

3721 6983550 Power N-CT61^2

4087 7100590 Power N-CT67^2T6

4491 7115220 Power N-CT67^2+2

4627 7195080 Power N-CT71^2Trin2,2,2

4761 7208390 Power N-CT71^2T2T2

4819 7216750 Power N-CT79^2T18

5037 7221700 Power N-CT73^2T4

5179 7228960 Power N-CT79^2Trin2,2,10

5313 7230170 Power N-CT79^2T10T2

5451 7231380 Power N-CT79^2T10

5779 7242270 Power N-CT79^2Trin2,2,2

5929 7243480 Power N-CT79^2T2T2

6083 7244690 Power N-CT79^2T2

6241 7245900 Power N-CT79^2

6853 8182770 Power N-CT89^2T12

7031 8183980 Power N-CT89^2T10

7120 8285180 Power N-CT101^2Arc(9)T24

7304 8286390 Power N-CT101^2Arc(9)T22

7469 8299810 Power N-CT97^2T20

7663 8301020 Power N-CT97^2T18

7922 8301240 Power N-CT89^2+1

8316 8403650 Power N-CT101^2Arc(9)T11

8393 8416850 perfect hash family9,11881,109T32

8611 8418060 perfect hash family9,11881,109T30

9144 8418280 Power N-CT101^2Arc(9)T2

9412 8432910 Power N-CT97^2+3

9421 8447540 Power N-CT101^2Arc(8)

9515 8462170 Power N-CT101^2Arc(7)

9610 8476800 Power N-CT101^2Arc(6)

9706 8491430 Power N-CT101^2Arc(5)

9803 8506060 Power N-CT101^2Arc(4)

9901 8520690 Power N-CT101^2Arc(3)

10000 8535320 Power N-CT101^2T1T1

Graph: