Best-known CA bounds for t=6, v=15

kNArrayMethod / Source
711390625composition
815080613Augment OA
1716777214orthogonal array fuse
1824137565orthogonal array fuse fuse
1937899705Add 1 factors
2047045873orthogonal array fuse fuse fuse fuse
22492830545-Restricted SCPHF RE (CL) fuse
25502660944-Restricted SCPHF RE (CL) fuse
2650331614SCPHF Random Extension (CLS) fuse
2850331644CPHF IPO 3 (WCS) fuse
33650116945,5-Restricted SCPHF RE (CL) fuse
35660602545-Restricted SCPHF RE (CL) fuse
39670432944-Restricted SCPHF RE (CL) fuse
4067108814SCPHF Random Extension (CLS) fuse
4667108859CPHF IPO 4 (WCS) fuse
51817888945,5-Restricted SCPHF RE (CL) fuse
56828374545-Restricted SCPHF RE (CL) fuse
58838204944-Restricted SCPHF RE (CL) fuse
63838819343-Restricted SCPHF RE (CL) fuse
64838857742-Restricted SCPHF RE (CL) fuse
6683886014SCPHF Random Extension (CLS) fuse
73975175345,5,5-Restricted SCPHF RE (CL) fuse
82985660945,5-Restricted SCPHF RE (CL) fuse
89996146545-Restricted SCPHF RE (CL) fuse
981005976944-Restricted SCPHF RE (CL) fuse
1031006591343-Restricted SCPHF RE (CL) fuse
1041006629742-Restricted SCPHF RE (CL) fuse
1131142947345,5,5-Restricted SCPHF RE (CL) fuse
1271153432945,5-Restricted SCPHF RE (CL) fuse
1411163918545-Restricted SCPHF RE (CL) fuse
1501173748944-Restricted SCPHF RE (CL) fuse
1561174363343-Restricted SCPHF RE (CL) fuse
1591174401742-Restricted SCPHF RE (CL) fuse
163117440414SCPHF Random Extension (CLS) fuse
164117440504CPHF Random Extension (CLS) fuse
236134217614SCPHF Random Extension (CLS) fuse
268193100429SCPHF Random Extension (CLS) fuse fuse
269260891369Add 1 factors
289268435408Power CT17^2
290336327148Add 1 factors
291367263298Add 2 factors
292389896048Add 3 factors
294418906251Add 5 factors
295433811236Add 6 factors
305443642608Add 16 factors
306482199664Add 17 factors
312518505358Martirosyan-TVT
313518622958Martirosyan-TVT variant
316518736718Martirosyan-TVT
317518871808Martirosyan-TVT variant
318519006898Martirosyan-TVT
326519007138Martirosyan-TVT
328519007228Martirosyan-TVT
330535784338Martirosyan-TVT
341536701618Martirosyan-TVT variant
512536870414perfect hash family32,512,16,c fuse
513536870816perfect hash family32,513,17
514617715356Add 1 factors
515664546406Add 2 factors
536669049222Martirosyan-TVT
538736840162Martirosyan-TVT
544744384201Martirosyan-TVT
545744613161Martirosyan-TVT variant
546745488709Martirosyan-TVT
547758722133Martirosyan-TVT variant
550774567013Martirosyan-TVT
551774723893Martirosyan-TVT variant
557774881029Martirosyan-TVT variant
568775527617Martirosyan-TVT
578776444897Martirosyan-TVT
625804257488Power CT25^2
626805240678Power CT27^2Arc(2)T2
650805240708Power CT27^2T2T1
675805240738Power CT27^2T2
676805306228Power CT27^2T1T1
702805306258Power CT27^2T1
730805306288Power CT27^2+1
731887763628Add 1 factors
774896552718Power N-CT43^2T25
784905969582Power N-CT41^2T13T13
817910314858Power N-CT43^2T24
860919461026Power N-CT43^2T23
884920584067Power N-CT41^2Trin2,8,13
904920649587Power N-CT41^2Trin1,8,13
924920649632Power N-CT41^2T13T8
936921632627Power N-CT41^2Trin2,6,13
958921698147Power N-CT41^2Trin1,6,13
980921698192Power N-CT41^2T13T6
1040922615667Power N-CT41^2Trin2,2,13
1066922681187Power N-CT41^2Trin1,2,13
1092922681232Power N-CT41^2T13T2
1093922746707Power N-CT41^2Arc(2)T13
1120922746752Power N-CT41^2T13T1
1204922746797Power N-CT43^2T15
1225937295717Power N-CT41^2Trin2,2,8
1256937361237Power N-CT41^2Trin1,2,8
1287937361282Power N-CT41^2T8T2
1288937426757Power N-CT41^2Arc(2)T8
1320937426802Power N-CT41^2T8T1
1419937426847Power N-CT43^2T10
1505938475407Power N-CT43^2T8
1521939392882Power N-CT41^2T2T2
1522939458357Power N-CT41^2Arc(2)T2
1560939458402Power N-CT41^2T2T1
1677939458447Power N-CT43^2T4
1720939523967Power N-CT43^2T3
1852939524012Power N-CT43^2+3
18611027604222Power N-CT47^2Arc(8)
19011042284257Power N-CT47^2Arc(7)
19421056964292Power N-CT47^2Arc(6)
19841071644327Power N-CT47^2Arc(5)
20271086324362Power N-CT47^2Arc(4)
20711101004397Power N-CT47^2Arc(3)
21161115684432Power N-CT47^2T1T1
21621130364467Power N-CT47^2T1
22581141898627Power N-CT53^2Trin2,2,7
23461142947187Power N-CT53^2T7T2
24381143995747Power N-CT53^2T7
24471155485027Power N-CT59^2Trin3,3,13
25331156468067Power N-CT59^2Trin1,3,13
25761156529507Power N-CT59^2T13T3
25791157389667Power N-CT59^2Arc(3)T13
26231157451107Power N-CT59^2Arc(2)T13
26681157512547Power N-CT59^2T13T1
28061157573987Power N-CT61^2T15
28121159724342Power N-CT53^2+3
28561171209542Power N-CT59^2T8T3
29771171213622Power N-CT59^2Trin3,3,3
30831172196662Power N-CT59^2Trin1,3,3
31111172254022Power N-CT61^2T10
31361172258102Power N-CT59^2T3T3
31391173118262Power N-CT59^2Arc(3)T3
31931173179702Power N-CT59^2Arc(2)T3
32481173241142Power N-CT59^2T3T1
34161173302582Power N-CT61^2T5
35381174285622Power N-CT61^2T3
37231174347062Power N-CT61^2+2
37241174400822Power N-CT61^2+3
37261174404182perfect hash family14,3726,66
37511201667222Power N-CT67^2Arc(12)
38071215298742Power N-CT67^2Arc(11)
38251226833129Power N-CT73^2Trin7,7,9
39431226833369Power N-CT73^2Trin7,7,7
39691240456729Power N-CT73^2T10T10
40321240460569Power N-CT73^2T10T9
41581240460809Power N-CT73^2T10T7
42241240464649Power N-CT73^2T9T7
43561240464889Power N-CT73^2T7T7
45991254092329Power N-CT73^2T10
46721254096169Power N-CT73^2T9
48181254096409Power N-CT73^2T7
49771266675049Power N-CT79^2T16
50561266678889Power N-CT79^2T15
52141266679129Power N-CT79^2T13
53291267727929Power N-CT73^2
53471277164729Power N-CT83^2Arc(2)T17
54121278213289Power N-CT83^2T17T1
56071279257769Power N-CT89^2T26
56961279261609Power N-CT89^2T25
58741279261849Power N-CT89^2T23
62441281359209Power N-CT79^2+3
62531286602009Power N-CT83^2Arc(8)
63291287650569Power N-CT83^2Arc(7)
64061288699129Power N-CT83^2Arc(6)
64841289747689Power N-CT83^2Arc(5)
65631290796249Power N-CT83^2Arc(4)
65921291795369perfect hash family13,10609,103T39
67981291795609perfect hash family13,10609,103T37
72981293941929Power N-CT89^2T7
79211294990489Power N-CT89^2
79541305738409Power N-CT97^2T15
80361306414249Power N-CT101^2T19T3
84461306475689perfect hash family13,10609,103T21
86331306786969Power N-CT97^2T8
87221307462809Power N-CT101^2T12T3
91671307524249perfect hash family13,10609,103T14
94101307770009Power N-CT97^2+1
96041308445849Power N-CT101^2T3T3
100001308507289perfect hash family13,10609,103T5

Checkmark key: ✓ array available (verified) · ✓ array available (unverified)