Best-known CA bounds for t=6, v=11
| k | N | Array | Method / 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) | |
| 23 | 5314681 | CPHFIPO | |
| 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 | 7086241 | CPHFIPO | |
| 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) | |
| 48 | 8857801 | CPHFIPO | |
| 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 | |
| 483 | 85020230 | Power CT23^2T2 | |
| 484 | 85032200 | Power CT23^2T1T1 | |
| 506 | 85033540 | Power CT23^2T1 | |
| 529 | 85034880 | Power CT23^2 | |
| 568 | 95663760 | perfect hash family6,568,208 | |
| 578 | 103716741 | perfect hash familyD16,578,34^11 17^5 | |
| 581 | 103731160 | Power N-CT29^2Arc(4)T6 | |
| 601 | 103877570 | Power N-CT29^2Arc(3)T6 | |
| 622 | 104023980 | Power N-CT29^2Arc(2)T6 | |
| 644 | 104170390 | Power N-CT29^2T6T1 | |
| 667 | 104316800 | Power N-CT29^2T6 | |
| 668 | 104491040 | Power N-CT31^2Arc(2)T8 | |
| 690 | 104505560 | Power N-CT31^2T8T1 | |
| 713 | 104520080 | Power N-CT31^2T8 | |
| 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 | |
| 965 | 106293600 | perfect hash family15,965,35 | |
| 992 | 113379700 | Power CT32^2T1 | |
| 1027 | 113379840 | Power CT32^2+3 | |
| 1051 | 116922640 | Power N-CT41^2Trin6,6,6 | |
| 1085 | 118532980 | Power N-CT41^2T10T6 | |
| 1225 | 118533120 | Power N-CT41^2T6T6 | |
| 1230 | 120128940 | Power N-CT41^2T11 | |
| 1271 | 120143460 | Power N-CT41^2T10 | |
| 1435 | 120143600 | Power N-CT41^2T6 | |
| 1681 | 121754080 | Power N-CT41^2 | |
| 1763 | 123657410 | Power N-CT43^2T2 | |
| 1849 | 123803820 | Power N-CT43^2 | |
| 1886 | 123848080 | Power N-CT47^2T6T1 | |
| 1927 | 123848120 | Power N-CT47^2T6 | |
| 1935 | 123994380 | Power N-CT47^2T4T2 | |
| 1936 | 123994450 | Power N-CT47^2Arc(2)T4 | |
| 1978 | 123994490 | Power N-CT47^2T4T1 | |
| 2021 | 123994530 | Power N-CT47^2T4 | |
| 2024 | 124007800 | Power N-CT47^2T3T1 | |
| 2068 | 124007840 | Power N-CT47^2T3 | |
| 2070 | 124009010 | Power N-CT47^2T2T1 | |
| 2115 | 124009050 | Power N-CT47^2T2 | |
| 2116 | 124009120 | Power N-CT47^2T1T1 | |
| 2162 | 124009160 | Power N-CT47^2T1 | |
| 2210 | 124009200 | Power N-CT47^2+1 | |
| 2211 | 138494110 | Add 1 factors | |
| 2304 | 141402360 | Power N-CT53^2T5T5 | |
| 2332 | 142850430 | Power N-CT53^2T9 | |
| 2385 | 142851640 | Power N-CT53^2T8 | |
| 2438 | 142851750 | Power N-CT53^2T7 | |
| 2544 | 142851790 | Power N-CT53^2T5 | |
| 2810 | 144301220 | Power N-CT53^2+1 | |
| 2832 | 144945310 | Power N-CT59^2T11 | |
| 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 |
Checkmark key: ✓ array available (verified) · ✓ array available (unverified)