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

Last Updated Sat Nov 16 19:19:53 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;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 3367430 extended OA (Colbourn)

15 3528481 4-Restricted SCPHF RE (CL)

19 5153621 5-Restricted SCPHF RE (CL)

21 5300031 4-Restricted SCPHF RE (CL)

22 5313341 3-Restricted SCPHF RE (CL)

26 6764131 5,5-Restricted SCPHF RE (CL)

28 6925171 5-Restricted SCPHF RE (CL)

30 7071581 4-Restricted SCPHF RE (CL)

31 7086101 2-Restricted SCPHF RE (CL)

35 8535681 5,5-Restricted SCPHF RE (CL)

41 8696721 5-Restricted SCPHF RE (CL)

43 8843131 4-Restricted SCPHF RE (CL)

44 8856441 3-Restricted SCPHF RE (CL)

45 8857651 2-Restricted SCPHF RE (CL)

46 8857761 SCPHF Random Extension (CLS)

47 10146191 5,5,5-Restricted SCPHF RE (CL)

54 10307231 5,5-Restricted SCPHF RE (CL)

60 10468271 5-Restricted SCPHF RE (CL)

61 10614681 4-Restricted SCPHF RE (CL)

66 10627991 3-Restricted SCPHF RE (CL)

67 10629311 SCPHF Random Extension (CLS)

68 10629361 CPHF Random Extension (CLS)

74 11917741 5,5,5-Restricted SCPHF RE (CL)

83 12078781 5,5-Restricted SCPHF RE (CL)

88 12239821 5-Restricted SCPHF RE (CL)

95 12386231 4-Restricted SCPHF RE (CL)

97 12399541 3-Restricted SCPHF RE (CL)

100 12400751 2-Restricted SCPHF RE (CL)

107 13689291 5,5,5-Restricted SCPHF RE (CL)

121 13850331 5,5-Restricted SCPHF RE (CL)

132 14011371 5-Restricted SCPHF RE (CL)

141 14157781 4-Restricted SCPHF RE (CL)

145 14171091 3-Restricted SCPHF RE (CL)

147 14172301 2-Restricted SCPHF RE (CL)

150 14172411 SCPHF Random Extension (CLS)

208 15943961 SCPHF Random Extension (CLS)

209 23996071 Add 1 factors

210 29293451 Add 2 factors

211 33113421 Add 3 factors

212 34723931 Add 4 factors

215 36250181 Add 11 factors

219 36334441 Add 11 factors

250 43441173 SCPHF Random Extension (CLS) fuse fuse

251 52807783 Add 1 factors

252 58105163 Add 2 factors

261 61989660 perfect hash family4,328,208T67

265 62002970 perfect hash family4,328,208T63

267 62004180 perfect hash family4,328,208T61

270 62004290 perfect hash family4,328,208T58

328 63775840 perfect hash family4,328,208

329 73287650 Add 1 factors

343 77933620 perfect hash family5,475,207T66

351 77946930 perfect hash family5,475,207T62

355 77948140 perfect hash family5,475,207T60

361 77948250 perfect hash family5,475,207T57

476 79719800 perfect hash family5,476,208

477 90695710 Add 1 factors

479 93892210 perfect hash family6,541,181T31

568 95663760 perfect hash family6,568,208

575 103876230 Power N-CT29^2Arc(3)T7

595 104022640 Power N-CT29^2Arc(2)T7

616 104169050 Power N-CT29^2T7T1

638 104315460 Power N-CT29^2T7

639 104489700 Power N-CT31^2Arc(2)T9

660 104504220 Power N-CT31^2T9T1

682 104518740 Power N-CT31^2T9

706 105341650 Power N-CT29^2Arc(5)

731 105488060 Power N-CT29^2Arc(4)

757 105634470 Power N-CT29^2Arc(3)

784 105780880 Power N-CT29^2T1T1

812 105927290 Power N-CT29^2T1

842 106073700 Power N-CT29^2+1

868 106130570 Power N-CT31^2T3

871 106247940 Power N-CT31^2Arc(3)

900 106262460 Power N-CT31^2T1T1

930 106276980 Power N-CT31^2T1

961 106291500 Power N-CT31^2

962 118876710 Add 1 factors

1066 119821490 Power N-CT41^2T15

1085 119982420 Power N-CT41^2T10T6

1148 119982530 Power N-CT41^2T13

1230 120128940 Power N-CT41^2T11

1271 120143460 Power N-CT41^2T10

1435 121593040 Power N-CT41^2T6

1681 121754080 Power N-CT41^2

1763 123657410 Power N-CT43^2T2

1849 123803820 Power N-CT43^2

1850 123990160 Power N-CT43^2+1

1851 124007100 Power N-CT43^2+2

1852 124008640 Power N-CT43^2+3

1861 131739220 Power N-CT47^2Arc(8)

1901 133027650 Power N-CT47^2Arc(7)

1942 134316080 Power N-CT47^2Arc(6)

1984 135604510 Power N-CT47^2Arc(5)

2027 136892940 Power N-CT47^2Arc(4)

2071 138181370 Power N-CT47^2Arc(3)

2116 139469800 Power N-CT47^2T1T1

2162 140758230 Power N-CT47^2T1

2209 142046660 Power N-CT47^2

2279 142837120 Power N-CT53^2T10

2332 142850430 Power N-CT53^2T9

2385 142851640 Power N-CT53^2T8

2438 142851750 Power N-CT53^2T7

2491 144140180 Power N-CT53^2T6

2810 144301220 Power N-CT53^2+1

2916 146233700 Power N-CT59^2T5T5

3186 146394740 Power N-CT59^2T5

3482 146555780 Power N-CT59^2+1

3483 148019880 Power N-CT61^2Arc(4)

3541 148166290 Power N-CT61^2Arc(3)

3600 148312700 Power N-CT61^2T1T1

3660 148459110 Power N-CT61^2T1

3721 148605520 Power N-CT61^2

3730 148642700 Power N-CT67^2Arc(5)T7

3786 148644020 Power N-CT67^2Arc(4)T7

3843 148645340 Power N-CT67^2Arc(3)T7

3901 148646660 Power N-CT67^2Arc(2)T7

3960 148647980 Power N-CT67^2T7T1

4020 148649300 Power N-CT67^2T7

4026 148794390 Power N-CT67^2T6T1

4087 148795710 Power N-CT67^2T6

4102 148802420 Power N-CT67^2Arc(6)

4164 148803740 Power N-CT67^2Arc(5)

4227 148805060 Power N-CT67^2Arc(4)

4291 148806380 Power N-CT67^2Arc(3)

4356 148807700 Power N-CT67^2T1T1

4422 148809020 Power N-CT67^2T1

4489 148810340 Power N-CT67^2

4490 148811040 Power N-CT67^2+1

4556 152353810 Power N-CT73^2T6T5

4624 152353860 Power N-CT73^2T5T5

4818 153640870 Power N-CT73^2T7

4891 153642190 Power N-CT73^2T6

4964 153642240 Power N-CT73^2T5

5330 154930620 Power N-CT73^2+1

5478 155573350 Power N-CT83^2T17

5561 155574670 Power N-CT83^2T16

5644 155574720 Power N-CT83^2T15

6142 156863100 Power N-CT83^2T9

6889 157024140 Power N-CT83^2

6894 159117660 perfect hash family13,6894,88

6919 159264070 Power N-CT89^2Arc(12)

6997 159410480 Power N-CT89^2Arc(11)

7076 159556890 Power N-CT89^2Arc(10)

7382 159599240 Power N-CT101^2Arc(13)T18

7822 159760280 Power N-CT101^2Arc(13)T13

8438 159906690 Power N-CT101^2Arc(13)T6

8614 159920000 Power N-CT101^2Arc(13)T4

8790 159921210 Power N-CT101^2Arc(13)T2

8839 161154090 Power N-CT97^2Trin2,2,2

9025 161167400 Power N-CT97^2T2T2

9215 161180710 Power N-CT97^2T2

9409 161194020 Power N-CT97^2

9412 161209750 Power N-CT97^2+3

9421 167652450 Power N-CT101^2Arc(8)

9515 168940990 Power N-CT101^2Arc(7)

9610 170229530 Power N-CT101^2Arc(6)

9706 171518070 Power N-CT101^2Arc(5)

9803 172806610 Power N-CT101^2Arc(4)

9901 174095150 Power N-CT101^2Arc(3)

10000 175383690 Power N-CT101^2T1T1

Graph: