Table for CAN(6,k,4) for k up to 10000

Last Updated Mon May 9 06:41:48 MST 2016

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,4) 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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kNSource
74096orthogonal array
87180Torres-Jimenez
98128Walker-Colbourn
108176Walker-Colbourn
118188Walker-Colbourn
1214268Add 1 factors postop NCK
1316302Torres-Jimenez
1516384composition
1620752Density Mult Cyclic (Colbourn) postop NCK
1722057Density Mult Cyclic (Colbourn) postop NCK
1823199Density Mult Cyclic (Colbourn) postop NCK
1924322Density Mult Cyclic (Colbourn) postop NCK
2025411Density Mult Cyclic (Colbourn) postop NCK
2126488Density Mult Cyclic (Colbourn) postop NCK
2228735IPOGF postop FSGF (RC-TJ)
2329720IPOGF postop FSGF (RC-TJ)
2430724IPOGF postop FSGF (RC-TJ)
2531654IPOGF postop FSGF (RC-TJ)
2632513IPOGF postop FSGF (RC-TJ)
2733356IPOGF postop FSGF (RC-TJ)
2834198IPOGF postop FSGF (RC-TJ)
2934971IPOGF postop FSGF (RC-TJ)
3035778IPOGF postop FSGF (RC-TJ)
3136515IPOGF postop FSGF (RC-TJ)
3237255IPOGF postop FSGF (RC-TJ)
3337917IPOGF postop FSGF (RC-TJ)
3438612IPOGF postop FSGF (RC-TJ)
3539283IPOGF postop FSGF (RC-TJ)
3639898IPOGF postop FSGF (RC-TJ)
3755066Add 1 factors
3862362Add 2 factors
3968314Add 3 factors
4071386Add 4 factors
4186554Add 1 factors
4294042Add 4 factors
4399994Add 4 factors
44104794Add 4 factors
45120106Add 4 factors
46127373Martirosyan-TVT
48128938Martirosyan-TVT
49130369Martirosyan-TVT variant
50132393Martirosyan-TVT
52133729Martirosyan-TVT
54135040Martirosyan-TVT
55136278Martirosyan-TVT variant
56138302Martirosyan-TVT
58139471Martirosyan-TVT
60140674Martirosyan-TVT
61141807Martirosyan-TVT variant
62143831Martirosyan-TVT
63148372Martirosyan-TVT variant
64151813Martirosyan-TVT
65153300Martirosyan-TVT variant
66153765Martirosyan-TVT
68154820Martirosyan-TVT
71155703Power CZ2-13.7-11.7-12.0
72161783Power CZ2-13.7-11.6-12.1
73163804Power CZ2-13.8-11.6-12.0
74167863Power CZ2-13.7-11.5-12.2
76169884Power CZ2-13.8-11.5-12.1
79171918Power CZ2-13.9-11.5-12.0
80175964Power CZ2-13.8-11.4-12.2
84177998Power CZ2-13.9-11.4-12.1
89180034Power CZ2-13.10-11.4-12.0
90184078Power CZ2-13.9-11.3-12.2
96186114Power CZ2-13.10-12.1-11.3
103188151Power CZ2-13.11-12.0-11.3
104192194Power CZ2-13.10-12.2-11.2
112194231Power CZ2-13.11-12.1-11.2
121196268Power CZ2-13.12-11.1-11.1
122200311Power CZ2-13.11-12.2-11.1
132202348Power CZ2-13.12-11.1-12.1
143204385Power CZ2-13.13-11.1
144208428Power CZ2-13.12-12.1-12.1
156210465Power CZ2-13.13-12.1
169212502Power CZ2-13.14
170218833Power CZ2-14.14
171221208Power CZ2-15.14
172243384Add 1 factors
175246059Power CZ2-16.8-15.6
186250426Power CZ2-16.9-15.5
198254793Power CZ2-16.10-15.4
211259161Power CZ2-16.11-15.3
225263529Power CZ2-16.12-15.1-15.1
240267897Power CZ2-16.13-15.1
256272265Power CZ2-16.14
272288726Power CZ2-17.13-16.1
289290059Power CZ2-17.14
290306373Power CZ2-18.14
291317318Power CZ2-19.10-18.4
304318214Power CZ2-19.13-16.1
306318337Power CZ2-19.12-17.1-18.1
307318441Power CZ2-19.11-18.3
323319485Power CZ2-19.13-17.1
324319569Power CZ2-19.12-18.1-18.1
342320717Power CZ2-19.13-18.1
361321865Power CZ2-19.14
362344041Add 1 factors
363364057Add 2 factors
364373465Add 3 factors
365376537Add 4 factors
366398713Add 1 factors
369403138Power CT23^2Arc(8):4 twos,0 ones
370404400Power CT23^2Arc(10):3 twos,2 ones
384405293Power CT23^2Arc(6):2 twos,0 ones 3 ext
386405385Power CT23^2Arc(8):3 twos,1 ones
403406370Power CT23^2Arc(6):3 twos,0 ones
404407632Power CT23^2Arc(8):2 twos,2 ones
420408525Power CT23^2T3T2
422408617Power CT23^2Arc(6):2 twos,1 ones
441409602Power CT23^2T2T2
442410864Power CT23^2Arc(2)T2
460411757Power CT23^2T3
462411849Power CT23^2T2T1
483412834Power CT23^2T2
484414096Power CT23^2T1T1
506415081Power CT23^2T1
529416066Power CT23^2
530430122Power CT23^2+1
531439422Power CT25^2Arc(4)
550440223Power CT25^2T3
552440278Power CT25^2T2T1
553440352Power CT25^2Arc(3)
575441208Power CT25^2T2
576441282Power CT25^2T1T1
600442212Power CT25^2T1
625443142Power CT25^2
626455168Power CT25^2+1
627463598Power CT27^2Arc(4)
648464338Power CT27^2T3
650464425Power CT27^2T2T1
651464441Power CT27^2Arc(3)
675465268Power CT27^2T2
676465284Power CT27^2T1T1
702466127Power CT27^2T1
729466970Power CT27^2
730478758Power CT27^2+1
731486488Power CT29^2Arc(4)
754487122Power CT29^2T3
756487192Power CT29^2T2T1
757487261Power CT29^2Arc(3)
783487965Power CT29^2T2
784488034Power CT29^2T1T1
812488807Power CT29^2T1
841489580Power CT29^2
842500878Power CT29^2+1
843508248Power CT31^2Arc(4)
868508879Power CT31^2T3
870508915Power CT31^2T2T1
871508985Power CT31^2Arc(3)
899509652Power CT31^2T2
900509722Power CT31^2T1T1
930510459Power CT31^2T1
961511196Power CT31^2
992520816Power CT32^2T1
1024521556Power CT32^2
1025530824Power CT32^2+1
1026540554Power CT32^2+2
1027549948Power CT32^2+3
1028558558Power CT32^2 +4
1029605394Add 1 factors
1044619230Power CT37^2Arc(10)
1072634398Power CT37^2Arc(9)
1101649566Power CT37^2Arc(8)
1131664734Power CT37^2Arc(7)
1162679902Power CT37^2Arc(6)
1194695070Power CT37^2Arc(5)
1227710238Power CT37^2Arc(4)
1261725406Power CT37^2Arc(3)
1296740574Power CT37^2T1T1
1332755742Power CT37^2T1
1369770910Power CT37^2
1370820566Add 1 factors
1452831161Power CT27^3T16T16T15
1573833195Power CT27^3T16T16T14
1650833265Power CT27^3T17T16T12
1815833277Power CT27^3T16T16T12
1936837645Power CT27^3T16T16T11
2057838950Power CT27^3T16T16T10
2178840092Power CT27^3T16T16T9
2299841215Power CT27^3T16T16T8
2475841473Power CT27^3T16T12T12
2541843381Power CT27^3T16T16T6
2662845628Power CT27^3T16T16T5
2783846613Power CT27^3T16T16T4
2805847146Power CT27^3T16T12T10
2904847617Power CT27^3T16T16T3
2970848288Power CT27^3T16T12T9
3025848547Power CT27^3T16T16T2
3146849406Power CT27^3T16T16T1
3375849669Power CT27^3T12T12T12
3465851577Power CT27^3T16T12T6
3520853487Power CT27^3T17S26
3872853499Power CT27^3T16S26
3894854342Power CT27^3T16S25
3927855185Power CT27^3T16S24
3960855813Power CT27^3T16T12T3
3971856028Power CT27^3T16S23
4050856484Power CT27^3T12T12T9
4125856743Power CT27^3T16T12T2
4290857602Power CT27^3T16T12T1
4455858445Power CT27^3T16T12
4500858696Power CT27^3T12T12T7
4725859773Power CT27^3T12T12T6
4851861681Power CT27^3T16T6T6
5280861695Power CT27^3T12S26
5310862538Power CT27^3T12S25
5355863381Power CT27^3T12S24
5400864009Power CT27^3T12T12T3
5415864224Power CT27^3T12S23
5625864939Power CT27^3T12T12T2
5850865798Power CT27^3T12T12T1
6075866641Power CT27^3T12T12
6336868510Power CT27^3T9S26
6372869353Power CT27^3T9S25
6688869633Power CT27^3T8S26
6726870476Power CT27^3T8S25
7040870722Power CT27^3T7S26
7080871565Power CT27^3T7S25
7392871799Power CT27^3T6S26
7434872642Power CT27^3T6S25
7497873485Power CT27^3T6S24
7500873966Power CT27^3T12T7T2
7744874046Power CT27^3T5S26
7800874825Power CT27^3T12T7T1
8096875031Power CT27^3T4S26
8100875668Power CT27^3T12T7
8142875874Power CT27^3T4S25
8190875902Power CT27^3T12T6T1
8448876035Power CT27^3T3S26
8505876745Power CT27^3T12T6
8800876965Power CT27^3T2S26
8850877808Power CT27^3T2S25
9152877824Power CT27^3S27
9204878667Power CT27^3S26
9282879510Power CT27^3S25
9315879977Power CT27^3T12T4
9360880138Power CT27^3T12T3T1
9375880209Power CT27^3T12T2T2
9405880241Power CT27^3T12S4
9720880981Power CT27^3T12T3
9750881068Power CT27^3T12T2T1
9765881084Power CT27^3T12S3
10000881911Power CT27^3T12T2
 Graph: