Table for CAN(5,k,6) for k up to 10000

Last Updated Fri Mar 27 17:29:14 MST 2015

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;5,k,6) 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
67776Derive from strength 6
710368Ji-Li-Yin
811664Xu-Ji-Dong
918475Torres-Jimenez
1021987Density Cyclic (Colbourn) postop NCK
1124613Density Cyclic (Colbourn) postop NCK
1227131Density Cyclic (Colbourn) postop NCK
1329286Density Cyclic (Colbourn) postop NCK
1431480Density Cyclic (Colbourn) postop NCK
1533538Density Cyclic (Colbourn) postop NCK
1635382Density Cyclic (Colbourn) postop NCK
1737184Density Cyclic (Colbourn) postop NCK
1838869Density Cyclic (Colbourn) postop NCK
1940539Density Cyclic (Colbourn) postop NCK
2042048Density Cyclic (Colbourn)
2143536Density Cyclic (Colbourn)
2245018Density Cyclic (Colbourn)
2346362Density Cyclic (Colbourn)
2447634Density Cyclic (Colbourn)
2548906Density Cyclic (Colbourn)
2652814IPOGF postop FSGF (R-C+T-J)
2754032IPOGF postop FSGF (R-C+T-J)
2855275IPOGF postop FSGF (R-C+T-J)
2956353IPOGF postop FSGF (R-C+T-J)
3057503IPOGF postop FSGF (R-C+T-J)
3158576IPOGF postop FSGF (R-C+T-J)
3259612IPOGF postop FSGF (R-C+T-J)
3360608IPOGF postop FSGF (R-C+T-J)
3461612IPOGF postop FSGF (R-C+T-J)
3562557IPOGF postop FSGF (R-C+T-J)
3663519IPOGF postop FSGF (R-C+T-J)
3764385IPOGF postop FSGF (R-C+T-J)
3865251IPOGF postop FSGF (R-C+T-J)
3966124IPOGF postop FSGF (R-C+T-J)
4066953IPOGF postop FSGF (R-C+T-J)
4167865IPOGF postop FSGF (R-C+T-J)
4268609IPOGF postop FSGF (R-C+T-J)
4369407IPOGF postop FSGF (R-C+T-J)
4470177IPOGF postop FSGF (R-C+T-J)
4571062IPOGF postop FSGF (R-C+T-J)
4671778IPOGF postop FSGF (R-C+T-J)
4790498Add 1 factors
48103998Add 2 factors
49122718Add 2 factors
50125520Add 4 factors
51128637Add 5 factors
52135745Martirosyan-Colbourn
54137713Martirosyan-Colbourn
56139496Martirosyan-Colbourn
58141264Martirosyan-Colbourn
60142984Martirosyan-Colbourn
62144687Martirosyan-Colbourn
64146263Martirosyan-Colbourn
66147859Martirosyan-Colbourn
68149313Martirosyan-Colbourn
70150738Martirosyan-Colbourn
72152240Martirosyan-Colbourn
74153616Martirosyan-Colbourn
76154962Martirosyan-Colbourn
77173682Add 1 factors
81176489Power CZ2-9.10
82195209Add 1 factors
84201881Martirosyan-TVT
85203039Martirosyan-TVT variant
86204287Martirosyan-TVT
88205537Martirosyan-TVT
90206842Martirosyan-TVT
92207918Martirosyan-TVT
93226638Add 1 factors
94227028Martirosyan-TVT
99234067Power CZ2-11.10-9.1
100234962Power CZ2-11.9-10.1-10.1
110237579Power CZ2-11.10-10.1
121240196Power CZ2-11.11
122261976Add 1 factors
123278536Add 2 factors
130281248Power CZ2-13.10-10.1
132281702Power CZ2-13.9-11.1-12.1
133282122Power CZ2-13.8-12.3
143283857Power CZ2-13.10-11.1
144284272Power CZ2-13.9-12.1-12.1
156286427Power CZ2-13.10-12.1
169288582Power CZ2-13.11
170312305Power CZ2-14.11
171332902Power CZ2-15.11
172341127Power CZ2-16.8-15.0-14.3
173341267Power CZ2-16.7-15.2-14.2
174341427Power CZ2-16.6-15.4-14.1
175341595Power CZ2-16.5-15.6
176342115Power CZ2-16.10-11.1
180342756Power CZ2-16.9-12.1-15.1
182342875Power CZ2-16.9-13.1-14.1
183343015Power CZ2-16.8-15.2-13.1
184343158Power CZ2-16.8-15.1-14.2
185343304Power CZ2-16.7-15.3-14.1
186343472Power CZ2-16.6-15.5
192344647Power CZ2-16.10-12.1
195344906Power CZ2-16.9-13.1-15.1
196345049Power CZ2-16.9-14.1-14.1
197345189Power CZ2-16.8-15.2-14.1
198345349Power CZ2-16.7-15.4
208346797Power CZ2-16.10-13.1
210347080Power CZ2-16.9-14.1-15.1
211347226Power CZ2-16.8-15.3
224348971Power CZ2-16.10-14.1
225349111Power CZ2-16.9-15.1-15.1
240351002Power CZ2-16.10-15.1
256352893Power CZ2-16.11
272370278Power CZ2-17.10-16.1
289372080Power CZ2-17.11
290384997Power CZ2-19.7-18.2-17.1
291385035Power CZ2-19.6-18.4
304386561Power CZ2-19.9-16.1
306386667Power CZ2-19.8-17.1-18.1
307386705Power CZ2-19.7-18.3
323388337Power CZ2-19.9-17.1
324388375Power CZ2-19.8-18.1-18.1
342390045Power CZ2-19.9-18.1
361391715Power CZ2-19.10
362406925Power CZ2-20.10
363421679Power CZ2-21.10
364436085Power CZ2-22.10
365438143Power CZ2-23.7-21.1-21.1-19.1
366438167Power CZ2-23.7-21.1-20.1-20.1
367438281Power CZ2-23.5-22.4-19.1
369438317Power CZ2-23.6-22.0-21.4
370438347Power CZ2-23.5-22.2-21.3
371438455Power CZ2-23.4-22.4-21.2
372438593Power CZ2-23.3-22.6-21.1
373438731Power CZ2-23.2-22.8
374439045Power CZ2-23.8-17.1-22.1
378439299Power CZ2-23.8-18.1-21.1
379439329Power CZ2-23.7-22.2-18.1
380439481Power CZ2-23.8-19.1-20.1
382439571Power CZ2-23.7-22.1-21.1-19.1
383439595Power CZ2-23.7-22.1-20.1-20.1
384439655Power CZ2-23.7-21.1-21.1-20.1
386439745Power CZ2-23.6-22.1-21.3
387439799Power CZ2-23.5-22.3-21.2
388439937Power CZ2-23.4-22.5-21.1
389440075Power CZ2-23.3-22.7
391440443Power CZ2-23.9-17.1
396440727Power CZ2-23.8-18.1-22.1
399440969Power CZ2-23.8-19.1-21.1
400440993Power CZ2-23.8-20.1-20.1
402441083Power CZ2-23.7-22.1-21.1-20.1
403441137Power CZ2-23.6-22.3-20.1
404441173Power CZ2-23.6-22.2-21.2
405441281Power CZ2-23.5-22.4-21.1
406441419Power CZ2-23.4-22.6
414442125Power CZ2-23.9-18.1
418442397Power CZ2-23.8-19.1-22.1
420442481Power CZ2-23.8-20.1-21.1
421442511Power CZ2-23.7-22.2-20.1
422442571Power CZ2-23.7-22.1-21.2
423442625Power CZ2-23.6-22.3-21.1
424442763Power CZ2-23.5-22.5
437443795Power CZ2-23.9-19.1
440443909Power CZ2-23.8-20.1-22.1
441443969Power CZ2-23.8-21.1-21.1
442443999Power CZ2-23.7-22.2-21.1
443444107Power CZ2-23.6-22.4
460445307Power CZ2-23.9-20.1
462445397Power CZ2-23.8-21.1-22.1
463445451Power CZ2-23.7-22.3
483446795Power CZ2-23.9-21.1
484446825Power CZ2-23.8-22.1-22.1
506448223Power CZ2-23.9-22.1
529449621Power CZ2-23.10
530476330Power N-CT23^2+1
531489050Power N-CT23^2+2
532528130Power N-CT23^2+3
550534067Power CT25^2T3
553534139Power CT25^2Arc(3)
576535411Power CT25^2T1T1
600536683Power CT25^2T1
625537955Power CT25^2
626551402Power N-CT29^2Trin1,2,5
629551431Power N-CT29^2Trin2,2,4
631551761Power N-CT29^2Arc(4)T4
638552185Power N-CT29^2T7
644552451Power N-CT29^2T6T1
648552480Power N-CT29^2T5T2
650552534Power N-CT29^2T4T3
652552674Power N-CT29^2Trin1,2,4
653552839Power N-CT29^2Arc(3)T4
667553529Power N-CT29^2T6
672553723Power N-CT29^2T5T1
675553752Power N-CT29^2T4T2
676553917Power N-CT29^2Arc(2)T4
696554801Power N-CT29^2T5
700554995Power N-CT29^2T4T1
725556073Power N-CT29^2T4
729558878Power N-CT29^2T2T2
730559043Power N-CT29^2Arc(2)T2
731559208Power N-CT29^2Arc(4)
754559981Power N-CT29^2T3
756560121Power N-CT29^2T2T1
757560286Power N-CT29^2Arc(3)
783561199Power N-CT29^2T2
784561364Power N-CT29^2T1T1
812562442Power N-CT29^2T1
841563520Power N-CT29^2
842575020Power N-CT29^2+1
1404580347Power N-CT47^2Arc(9)T11
1442581213Power N-CT47^2Arc(9)T10
1480582079Power N-CT47^2Arc(9)T9
1518582952Power N-CT47^2Arc(9)T8
1556583781Power N-CT47^2Arc(9)T7
1594584693Power N-CT47^2Arc(9)T6
1632585437Power N-CT47^2Arc(9)T5
1670586235Power N-CT47^2Arc(9)T4
1708587005Power N-CT47^2Arc(9)T3
1746587890Power N-CT47^2Arc(9)T2
1764623058Power N-CT43^2T1T1
1806623856Power N-CT43^2T1
1849624654Power N-CT43^2
1850631584Power N-CT43^2+1
1851639549Power N-CT43^2+2
1852645993Power N-CT43^2+3
1861664713Power N-CT47^2Arc(8)
1901683433Power N-CT47^2Arc(7)
1942702153Power N-CT47^2Arc(6)
1984720873Power N-CT47^2Arc(5)
2027739593Power N-CT47^2Arc(4)
2071758313Power N-CT47^2Arc(3)
2808761090Martirosyan-Colbourn
2814761956Martirosyan-Colbourn
2815827476Add 1 factors
2840845567Power CZ3-23.0-22.6-21.15
2884846875Power CZ3-23.1-22.5-21.15
2975846989Power CZ3-23.0-22.7-21.14
3021848297Power CZ3-23.1-22.6-21.14
3116848411Power CZ3-23.0-22.8-21.13
3164849719Power CZ3-23.1-22.7-21.13
3264849833Power CZ3-23.0-22.9-21.12
3314851141Power CZ3-23.1-22.8-21.12
3419851255Power CZ3-23.0-22.10-21.11
3471852563Power CZ3-23.1-22.9-21.11
3581852737Power CZ3-23.0-22.11-21.10
3636854045Power CZ3-23.1-22.10-21.10
3751854219Power CZ3-23.0-22.12-21.9
3809855527Power CZ3-23.1-22.11-21.9
3929855701Power CZ3-23.0-22.13-21.8
3990857009Power CZ3-23.1-22.12-21.8
4116857183Power CZ3-23.0-22.14-21.7
4180858491Power CZ3-23.1-22.13-21.7
4311858665Power CZ3-23.0-22.15-21.6
4379859973Power CZ3-23.1-22.14-21.6
4516860147Power CZ3-23.0-22.16-21.5
4587861455Power CZ3-23.1-22.15-21.5
4731861629Power CZ3-23.0-22.17-21.4
4805862937Power CZ3-23.1-22.16-21.4
4956863111Power CZ3-23.0-22.18-21.3
5033864419Power CZ3-23.1-22.17-21.3
5192864593Power CZ3-23.0-22.19-21.2
5272865901Power CZ3-23.1-22.18-21.2
5439866753Power CZ3-23.0-22.20-21.1
5523867473Power CZ3-23.1-22.19-21.1
5628868781Power CZ3-23.2-22.18-21.1
5698868913Power CZ3-23.0-22.21
5786869633Power CZ3-23.1-22.20
5896870353Power CZ3-23.2-22.19
5901871427Power CZ3-23.4-22.16-21.1
6028871661Power CZ3-23.3-22.18
6069872765Power CZ3-23.5-22.15-21.1
6182872969Power CZ3-23.4-22.17
6258874109Power CZ3-23.6-22.14-21.1
6358874307Power CZ3-23.5-22.16
6395875261Power CZ3-23.8-22.11-21.2
6468875453Power CZ3-23.7-22.13-21.1
6556875645Power CZ3-23.6-22.15
6583876467Power CZ3-23.10-22.8-21.3
6636876605Power CZ3-23.9-22.10-21.2
6699876797Power CZ3-23.8-22.12-21.1
6776876989Power CZ3-23.7-22.14
6783877649Power CZ3-23.13-22.3-21.5
6814877703Power CZ3-23.12-22.5-21.4
6851877811Power CZ3-23.11-22.7-21.3
6896877949Power CZ3-23.10-22.9-21.2
6951878141Power CZ3-23.9-22.11-21.1
7018878333Power CZ3-23.8-22.13
7058879017Power CZ3-23.15-22.0-21.6
7080879047Power CZ3-23.14-22.2-21.5
7106879077Power CZ3-23.13-22.4-21.4
7138879155Power CZ3-23.12-22.6-21.3
7177879293Power CZ3-23.11-22.8-21.2
7224879485Power CZ3-23.10-22.10-21.1
7282879677Power CZ3-23.9-22.12
7308880245Power CZ3-23.14-22.6-18.1
7394880445Power CZ3-23.15-22.1-21.5
7417880475Power CZ3-23.14-22.3-21.4
7444880529Power CZ3-23.13-22.5-21.3
7477880637Power CZ3-23.12-22.7-21.2
7518880829Power CZ3-23.11-22.9-21.1
7568881021Power CZ3-23.10-22.11
7581881549Power CZ3-23.18-19.1-19.1-21.1
7632881619Power CZ3-23.15-22.5-18.1
7726881843Power CZ3-23.16-22.0-21.5
7746881873Power CZ3-23.15-22.2-21.4
7770881903Power CZ3-23.14-22.4-21.3
7798881981Power CZ3-23.13-22.6-21.2
7833882173Power CZ3-23.12-22.8-21.1
7876882365Power CZ3-23.11-22.10
7938882825Power CZ3-23.18-18.1-21.1-21.1
7974882993Power CZ3-23.16-22.4-18.1
7980883061Power CZ3-23.18-19.1-20.1-21.1
8000883139Power CZ3-23.18-20.1-20.1-20.1
8093883271Power CZ3-23.16-22.1-21.4
8114883301Power CZ3-23.15-22.3-21.3
8139883355Power CZ3-23.14-22.5-21.2
8169883517Power CZ3-23.13-22.7-21.1
8206883709Power CZ3-23.12-22.9
8211884023Power CZ3-23.19-17.1-21.1
8228884107Power CZ3-23.18-22.2-17.1
8280884271Power CZ3-23.19-18.1-20.1
8316884307Power CZ3-23.18-18.1-21.1-22.1
8334884391Power CZ3-23.17-22.3-18.1
8379884495Power CZ3-23.18-19.1-21.1-21.1
8400884573Power CZ3-23.18-20.1-20.1-21.1
8417884663Power CZ3-23.16-22.4-19.1
8459884669Power CZ3-23.17-22.0-21.4
8478884699Power CZ3-23.16-22.2-21.3
8500884729Power CZ3-23.15-22.4-21.2
8526884861Power CZ3-23.14-22.6-21.1
8558885053Power CZ3-23.13-22.8
8602885505Power CZ3-23.19-17.1-22.1
8694885705Power CZ3-23.19-18.1-21.1
8712885789Power CZ3-23.18-22.2-18.1
8740885941Power CZ3-23.19-19.1-20.1
8778885977Power CZ3-23.18-19.1-21.1-22.1
8820886007Power CZ3-23.18-20.1-21.1-21.1
8861886097Power CZ3-23.17-22.1-21.3
8881886127Power CZ3-23.16-22.3-21.2
8904886235Power CZ3-23.15-22.5-21.1
8932886397Power CZ3-23.14-22.7
8993886903Power CZ3-23.20-17.1
9108887187Power CZ3-23.19-18.1-22.1
9177887375Power CZ3-23.19-19.1-21.1
9200887453Power CZ3-23.19-20.1-20.1
9240887489Power CZ3-23.18-20.1-21.1-22.1
9261887495Power CZ3-23.18-22.0-21.3
9282887525Power CZ3-23.17-22.2-21.2
9303887609Power CZ3-23.16-22.4-21.1
9328887741Power CZ3-23.15-22.6
9522888585Power CZ3-23.20-18.1
9614888857Power CZ3-23.19-19.1-22.1
9660888887Power CZ3-23.19-20.1-21.1
9702888923Power CZ3-23.18-22.1-21.2
9723889007Power CZ3-23.17-22.3-21.1
9746889115Power CZ3-23.16-22.5
10000890255Power CZ3-23.20-19.1
 Graph: