Best-known CA bounds for t=5, v=19

kNArrayMethod / Source
202476099orthogonal array
214815018extended OA (Colbourn)
2249453393-Restricted SCPHF RE (CL)
234952197CPHFIPO
246436335orthogonal array fuse fuse fuse fuse
3772979574-Restricted SCPHF RE (CL)
4074214193-Restricted SCPHF RE (CL)
417428259SCPHF Random Extension (CLS)
457428295CPHFIPO
6096437354,4-Restricted SCPHF RE (CL)
6897740374-Restricted SCPHF RE (CL)
7598974993-Restricted SCPHF RE (CL)
7799039972-Restricted SCPHF RE (CL)
789904339SCPHF Random Extension (CLS)
899904393CPHFIPO
107121198154,4-Restricted SCPHF RE (CL)
126122501174-Restricted SCPHF RE (CL)
136123735793-Restricted SCPHF RE (CL)
143123800772-Restricted SCPHF RE (CL)
180144655934,4,4-Restricted SCPHF RE (CL)
207145958954,4-Restricted SCPHF RE (CL)
233147261974-Restricted SCPHF RE (CL)
258148496593-Restricted SCPHF RE (CL)
262148561572-Restricted SCPHF RE (CL)
26914856589CPHF Random Extension (CLS)
343169416734,4,4-Restricted SCPHF RE (CL)
373170719754,4-Restricted SCPHF RE (CL)
446172022774-Restricted SCPHF RE (CL)
461173257393-Restricted SCPHF RE (CL)
466173322372-Restricted SCPHF RE (CL)
47017332579SCPHF Random Extension (CLS)
47317332687CPHF Random Extension (CLS)
597194177534,4,4-Restricted SCPHF RE (CL)
671195480554,4-Restricted SCPHF RE (CL)
723196783574-Restricted SCPHF RE (CL)
838198018193-Restricted SCPHF RE (CL)
851198083172-Restricted SCPHF RE (CL)
85228938007Add 1 factors
85335449003Add 2 factors
85437794781Add 3 factors
85740134061Add 19 factors
87040140559Add 19 factors
87149270249Add 19 factors
87255781245Add 19 factors
87856929374perfect hash family3,1254,837T376
88356935872perfect hash family3,1254,837T371
88756936214perfect hash family3,1254,837T367
89056936322perfect hash family3,1254,837T364
89456949210perfect hash family3,1275,851T381
89756949318perfect hash family3,1275,851T378
93158513860perfect hash family3,1005,671T74
100558644162perfect hash family3,1005,671
103158904766perfect hash family3,1083,723T52
108359035068perfect hash family3,1083,723
108859151690perfect hash family3,1254,837T166
109559164686perfect hash family3,1275,851T180
114059281992perfect hash family3,1254,837T114
114759294988perfect hash family3,1275,851T128
125559405454perfect hash family3,1255,838
126259418450perfect hash family3,1275,851T13
127559424948perfect hash family3,1275,851
133666586878Power N-CT41^2Trin1,4,4
136966593718Power N-CT41^2T4T4
137566696660Power N-CT41^2Arc(4)T4
140966703500Power N-CT41^2Arc(3)T4
144466710340Power N-CT41^2Arc(2)T4
148066717180Power N-CT41^2T4T1
151766724020Power N-CT41^2T4
159166724308Power N-CT43^2T6
160066840642Power N-CT41^2T1T1
164066847482Power N-CT41^2T1
172066847770Power N-CT43^2T3
176366854610Power N-CT43^2T2
185166854646Power N-CT43^2+2
186575716136perfect hash family4,3125,625T252
223075846438perfect hash family4,3125,625T179
230575969900perfect hash family4,3125,625T164
233075976398perfect hash family4,3125,625T159
235075976740perfect hash family4,3125,625T155
236575976848perfect hash family4,3125,625T152
298578061914perfect hash family4,3125,625T28
312578192216perfect hash family4,3125,625
329386533092Power N-CT89^2T52
333486656482Power N-CT79^2Trin1,4,34
337586656536Power N-CT79^2T34T4
356086656554Power N-CT89^2T49
364986663394Power N-CT89^2T48
400586663430Power N-CT89^2T44
402087836022Power N-CT67^2T7
449087966324Power N-CT67^2+1
462488830558Power N-CT71^2T3T3
468088878816Power N-CT79^2T19T1
534088878870Power N-CT89^2T29
605289009172Power N-CT89^2T21
667589132634Power N-CT89^2T14
685389139132Power N-CT89^2T12
694289139474Power N-CT89^2T11
792189139528Power N-CT89^2
800096567822Power CT23^3T3T3T3
840098906741Power CT23^3T3T3T2
880099037062Power CT23^3T3T3T1
920099043920Power CT23^3T3T3
9240101375981Power CT23^3T3T2T1
9660101382839Power CT23^3T3T2
9680101506302Power CT23^3T3T1T1
10000101513160Power CT23^3T3T1

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