Table for CAN(5,k,8) 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,8) 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

9 32768 orthogonal array

10 53681 orthogonal array fuse postop NCK

13 61440 4-Restricted SCPHF RE (CL)

15 65024 3-Restricted SCPHF RE (CL)

22 94200 4-Restricted SCPHF RE (CL)

23 97784 3-Restricted SCPHF RE (CL)

30 122872 4,4-Restricted SCPHF RE (CL)

31 126456 4,3-restricted SCPHF RE (CL)

33 126960 4-Restricted SCPHF RE (CL)

35 130040 3,3-Restricted SCPHF RE (CL)

36 130992 2-Restricted SCPHF RE (CL)

45 155632 4,4-Restricted SCPHF RE (CL)

48 159216 4,3-restricted SCPHF RE (CL)

50 159664 4,2-restricted SCPHF RE (CL)

53 162800 3,3-Restricted SCPHF RE (CL)

54 163248 3,2-restricted SCPHF RE (CL)

55 163304 3-Restricted SCPHF RE (CL)

60 184304 4,4,4-Restricted SCPHF RE (CL)

66 187888 unknown CLS - fix

67 188392 4,4-Restricted SCPHF RE (CL)

74 192480 4-Restricted SCPHF RE (CL)

82 196064 3-Restricted SCPHF RE (CL)

83 196568 SCPHF Random Extension (CLS)

90 217064 4,4,4-Restricted SCPHF RE (CL)

99 221152 4,4-Restricted SCPHF RE (CL)

109 225240 4-Restricted SCPHF RE (CL)

116 228824 3-Restricted SCPHF RE (CL)

122 229272 2-Restricted SCPHF RE (CL)

123 229328 SCPHF Random Extension (CLS)

134 249824 4,4,4-Restricted SCPHF RE (CL)

150 253912 4,4-Restricted SCPHF RE (CL)

163 258000 4-Restricted SCPHF RE (CL)

183 261584 3-Restricted SCPHF RE (CL)

184 262032 2-Restricted SCPHF RE (CL)

185 262088 SCPHF Random Extension (CLS)

186 262137 CPHF Random Extension (CLS)

210 282584 4,4,4-Restricted SCPHF RE (CL)

229 286672 4,4-Restricted SCPHF RE (CL)

252 290760 4-Restricted SCPHF RE (CL)

278 294344 3-Restricted SCPHF RE (CL)

283 294848 SCPHF Random Extension (CLS)

320 315344 4,4,4-Restricted SCPHF RE (CL)

343 319432 4,4-Restricted SCPHF RE (CL)

371 323520 4-Restricted SCPHF RE (CL)

417 327104 3-Restricted SCPHF RE (CL)

427 327552 2-Restricted SCPHF RE (CL)

429 327608 SCPHF Random Extension (CLS)

430 327671 CPHF Random Extension (CLS)

473 348104 4,4,4-Restricted SCPHF RE (CL)

510 352192 4,4-Restricted SCPHF RE (CL)

569 356280 4-Restricted SCPHF RE (CL)

595 359864 3-Restricted SCPHF RE (CL)

604 360312 2-Restricted SCPHF RE (CL)

622 360368 SCPHF Random Extension (CLS)

675 380864 4,4,4-Restricted SCPHF RE (CL)

749 384952 4,4-Restricted SCPHF RE (CL)

812 389040 4-Restricted SCPHF RE (CL)

813 546288 Add 1 factors

814 631408 Add 2 factors

818 648727 3-Restricted SCPHF RE (CL) fuse

819 685616 Add 8 factors

820 688752 Add 8 factors

821 813480 Add 9 factors

822 931120 Add 8 factors

826 948439 Add 8 factors

827 985328 Add 8 factors

828 988464 Add 8 factors

852 1068837 perfect hash family3,852,569

854 1073767 Martirosyan-Colbourn

858 1073823 Martirosyan-Colbourn

860 1073886 Martirosyan-Colbourn

865 1076005 perfect hash family3,891,595T26

869 1076901 perfect hash family3,903,603T34

878 1077013 perfect hash family3,930,621T52

891 1079589 perfect hash family3,891,595

895 1080485 perfect hash family3,903,603T8

904 1080597 perfect hash family3,930,621T26

913 1081045 perfect hash family3,930,621T17

931 1081101 perfect hash family3,931,622

946 1097455 Martirosyan-Colbourn

1020 1101543 Martirosyan-Colbourn

1068 1105631 Martirosyan-Colbourn

1138 1106023 Martirosyan-Colbourn

1148 1109607 Martirosyan-Colbourn

1190 1112351 Martirosyan-Colbourn

1208 1112799 Martirosyan-Colbourn

1244 1112855 Martirosyan-Colbourn

1262 1133351 Martirosyan-Colbourn

1320 1133743 Martirosyan-Colbourn

1348 1134135 Martirosyan-Colbourn

1350 1134478 Martirosyan-Colbourn

1354 1138566 Martirosyan-Colbourn

1492 1156255 Martirosyan-Colbourn

1498 1159783 Martirosyan-Colbourn

1624 1163871 Martirosyan-Colbourn

1626 1321119 Martirosyan-Colbourn

1851 1400679 Power N-CT43^2+2

1939 1422183 Power N-CT47^2Trin2,2,2

2025 1425767 Power N-CT47^2T2T2

2115 1429351 Power N-CT47^2T2

2210 1432935 Power N-CT47^2+1

2212 1436967 Power N-CT47^2+3

2250 1454887 Power N-CT53^2T8T3

2265 1455335 Power N-CT53^2Trin3,3,5

2359 1455783 Power N-CT53^2Trin3,3,3

2385 1458023 Power N-CT53^2T8

2400 1458471 Power N-CT53^2T5T3

2500 1458919 Power N-CT53^2T3T3

2544 1461607 Power N-CT53^2T5

2650 1462055 Power N-CT53^2T3

2809 1465191 Power N-CT53^2

2810 1469223 Power N-CT53^2+1

2811 1469727 Power N-CT53^2+2

2845 1498868 perfect hash family4,3125,625T56

2975 1502452 perfect hash family4,3125,625T30

3020 1502900 perfect hash family4,3125,625T21

3110 1502956 perfect hash family4,3125,625T3

3125 1523452 perfect hash family4,3125,625

3127 1637223 Power N-CT59^2T6

3186 1637671 Power N-CT59^2T5

3245 1637727 Power N-CT59^2T4

3482 1658727 Power N-CT59^2+1

3523 1668919 Power N-CT67^2Arc(3)T12

3576 1669423 Power N-CT67^2Arc(2)T12

3630 1669927 Power N-CT67^2T12T1

3685 1670431 Power N-CT67^2T12

3730 1688911 Power N-CT67^2Arc(5)T7

3786 1689415 Power N-CT67^2Arc(4)T7

3843 1689919 Power N-CT67^2Arc(3)T7

3901 1690423 Power N-CT67^2Arc(2)T7

3960 1690927 Power N-CT67^2T7T1

4020 1691431 Power N-CT67^2T7

4041 1691991 Power N-CT67^2Arc(7)

4102 1692495 Power N-CT67^2Arc(6)

4164 1692999 Power N-CT67^2Arc(5)

4227 1693503 Power N-CT67^2Arc(4)

4291 1694007 Power N-CT67^2Arc(3)

4356 1694511 Power N-CT67^2T1T1

4422 1695015 Power N-CT67^2T1

4489 1695519 Power N-CT67^2

4818 1727719 Power N-CT73^2T7

4891 1728223 Power N-CT73^2T6

5330 1732311 Power N-CT73^2+1

5476 1757399 Power N-CT79^2T5T5

5494 1760423 Power N-CT83^2T16T1

5512 1760479 Power N-CT83^2Arc(9)T9

5561 1760927 Power N-CT83^2T16

5846 1760983 Power N-CT79^2T5

5852 1762999 Power N-CT83^2Arc(4)T9

5923 1763503 Power N-CT83^2Arc(3)T9

5995 1764007 Power N-CT83^2Arc(2)T9

6030 1764063 Power N-CT83^2Arc(9)T2

6068 1764511 Power N-CT83^2T9T1

6244 1764567 Power N-CT79^2+3

6253 1765071 Power N-CT83^2Arc(8)

6329 1765575 Power N-CT83^2Arc(7)

6406 1766079 Power N-CT83^2Arc(6)

6484 1766583 Power N-CT83^2Arc(5)

6563 1767087 Power N-CT83^2Arc(4)

6643 1767591 Power N-CT83^2Arc(3)

6724 1768095 Power N-CT83^2T1T1

6806 1768599 Power N-CT83^2T1

6889 1769103 Power N-CT83^2

7298 1932567 Power N-CT89^2T7

7387 1933071 Power N-CT89^2T6

7922 1953567 Power N-CT89^2+1

7954 1965271 Power N-CT97^2T15

8051 1965775 Power N-CT97^2T14

8100 1982183 Power N-CT97^2T7T7

8730 1986271 Power N-CT97^2T7

9411 1990359 Power N-CT97^2+2

9607 2014887 Power N-CT101^2Trin2,2,2

9810 2018975 perfect hash family9,11881,109T19

10000 2023063 perfect hash family9,10609,103T4

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