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

Last Updated Sun Nov 22 06:45:17 MST 2009

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,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
746656composition
887818MIPOG (Younis)
9115811MIPOG (Younis)
10139638MIPOG (Younis)
11185472composition
12282582Add a factor
14343189Martirosyan-Tran van Trung
16410250Martirosyan-Tran van Trung
17554040Add a factor
18611973Martirosyan-Tran van Trung
20735661Martirosyan-Tran van Trung
21910891Add a factor
22945311Martirosyan-Tran van Trung
241095293Martirosyan-Tran van Trung
261250454Martirosyan-Tran van Trung
281302219Martirosyan-Tran van Trung
301414046Martirosyan-Tran van Trung
321433218Martirosyan-Tran van Trung
331661158Add a factor
341730509Martirosyan-Tran van Trung
361806868Martirosyan-Tran van Trung
372048188Add a factor
382103532Martirosyan-Tran van Trung
402146142Martirosyan-Tran van Trung
422364041Martirosyan-Tran van Trung
442440954Martirosyan-Tran van Trung
462632393Martirosyan-Tran van Trung
482673784Martirosyan-Tran van Trung
502869728Martirosyan-Tran van Trung
522910312Martirosyan-Tran van Trung
543001642Martirosyan-Tran van Trung
563036396Martirosyan-Tran van Trung
583153913Martirosyan-Tran van Trung
603159438Martirosyan-Tran van Trung
623244743Martirosyan-Tran van Trung
643266672Martirosyan-Tran van Trung
663532094Martirosyan-Tran van Trung
683622170Martirosyan-Tran van Trung
703736287Martirosyan-Tran van Trung
723757647Martirosyan-Tran van Trung
744018784Martirosyan-Tran van Trung
764093957Martirosyan-Tran van Trung
784155663Martirosyan-Tran van Trung
804174158Martirosyan-Tran van Trung
824427946Martirosyan-Tran van Trung
844446307Martirosyan-Tran van Trung
864557458Martirosyan-Tran van Trung
884574362Martirosyan-Tran van Trung
904783058Martirosyan-Tran van Trung
924799898Martirosyan-Tran van Trung
944947681Martirosyan-Tran van Trung
965019285Martirosyan-Tran van Trung
985258393Martirosyan-Tran van Trung
1005269453Martirosyan-Tran van Trung
1025351643Martirosyan-Tran van Trung
1045365083Martirosyan-Tran van Trung
1085472128Martirosyan-Tran van Trung
1105545432Martirosyan-Tran van Trung
1125555992Martirosyan-Tran van Trung
1145730319Martirosyan-Tran van Trung
1165740815Martirosyan-Tran van Trung
1185763017Martirosyan-Tran van Trung
1205773677Martirosyan-Tran van Trung
1225885386Martirosyan-Tran van Trung
1245894570Martirosyan-Tran van Trung
1265934861Martirosyan-Tran van Trung
1285945521Martirosyan-Tran van Trung
1326211538Power 16^2T5T4
1406226311Power 16^2T6T2
1446269545Power 16^2T7
1546272145Power 16^2T5T2
1606293372Power 16^2T6
1766339206Power 16^2T5
1966429862Power 16^2T2T2
2246496923Power 16^2T2
2566563984Power 16^2
2577150364Add a factor
2587736744Add a factor
2598334704Add a factor
2728720834Power 17^2T1
2898864624Power 17^2
2909486404Add a factor
29110108964Add a factor
29210731524Add a factor
29410935817Martirosyan-Tran van Trung
29610941017Martirosyan-Tran van Trung
29810954733Martirosyan-Tran van Trung
30010958685Martirosyan-Tran van Trung
30210966691Martirosyan-Tran van Trung
30410971891Martirosyan-Tran van Trung
30611079494Martirosyan-Tran van Trung
30811084954Martirosyan-Tran van Trung
31011139698Martirosyan-Tran van Trung
31211145210Martirosyan-Tran van Trung
31411158352Martirosyan-Tran van Trung
31611220860Martirosyan-Tran van Trung
31811238773Martirosyan-Tran van Trung
32011243437Martirosyan-Tran van Trung
32211305944Martirosyan-Tran van Trung
32411311032Martirosyan-Tran van Trung
32611349902Martirosyan-Tran van Trung
34211646872Power 19^2T1
36211770560Power 19^2+1
36312495000Add a factor
36412536338Martirosyan-Tran van Trung
36812553312Martirosyan-Tran van Trung
37212655903Martirosyan-Tran van Trung
37612668402Martirosyan-Tran van Trung
38012739620Martirosyan-Tran van Trung
38412749097Martirosyan-Tran van Trung
38812786726Martirosyan-Tran van Trung
39212796689Martirosyan-Tran van Trung
39612923454Martirosyan-Tran van Trung
40012947294Martirosyan-Tran van Trung
40412970144Martirosyan-Tran van Trung
40813012940Martirosyan-Tran van Trung
41213026402Martirosyan-Tran van Trung
41613035541Martirosyan-Tran van Trung
44813060907perfect hash family32,512,16T2
51213127968perfect hash family32,512,16
51313973008Add a factor
51414781429Martirosyan-Tran van Trung
51615367809Martirosyan-Tran van Trung
51815974167Martirosyan-Tran van Trung
52016360297Martirosyan-Tran van Trung
52416504236Martirosyan-Tran van Trung
52816511826Martirosyan-Tran van Trung
53216532201Martirosyan-Tran van Trung
53616538020Martirosyan-Tran van Trung
54016562038Martirosyan-Tran van Trung
54416584403Martirosyan-Tran van Trung
54816745507Martirosyan-Tran van Trung
55216752844Martirosyan-Tran van Trung
55616761428Martirosyan-Tran van Trung
56017019144Martirosyan-Tran van Trung
56417033906Martirosyan-Tran van Trung
56817040231Martirosyan-Tran van Trung
57217050709Martirosyan-Tran van Trung
57617057287Martirosyan-Tran van Trung
57817116279Martirosyan-Tran van Trung
57918001819Add a factor
58018043207Martirosyan-Tran van Trung
58218674182Martirosyan-Tran van Trung
58419188796Martirosyan-Tran van Trung
58819204247Martirosyan-Tran van Trung
59219215822Martirosyan-Tran van Trung
59619244523Martirosyan-Tran van Trung
60019253320Martirosyan-Tran van Trung
60419270836Martirosyan-Tran van Trung
60819282411Martirosyan-Tran van Trung
61219489935Martirosyan-Tran van Trung
61619502077Martirosyan-Tran van Trung
62019565110Martirosyan-Tran van Trung
62419577304Martirosyan-Tran van Trung
62819604758Martirosyan-Tran van Trung
63019708234Martirosyan-Tran van Trung
63219759318Martirosyan-Tran van Trung
63619791484Martirosyan-Tran van Trung
64019801802Martirosyan-Tran van Trung
64419882062Martirosyan-Tran van Trung
64819893318Martirosyan-Tran van Trung
65219945617Martirosyan-Tran van Trung
65920427886Power N29^2S7
68220539713Power N29^2S6
70620651540Power N29^2S5
73120763367Power N29^2S4
75720875194Power N29^2S3
78420987021Power N29^2T1T1
81221098848Power N29^2T1
84221210675Power N29^2+1
86821367256Power N31^2T3
87121440739Power N31^2S3
90021459911Power N31^2T1T1
93021479083Power N31^2T1
96221498255Power N31^2+1
96322505595Add a factor
102422931472Power 32^2
102523950302Add a factor
102624969132Add a factor
102725996902Add a factor
102826078209Martirosyan-Tran van Trung
103226664589Martirosyan-Tran van Trung
103627280807Martirosyan-Tran van Trung
104027666937Martirosyan-Tran van Trung
104827826731Martirosyan-Tran van Trung
105627843021Martirosyan-Tran van Trung
106427885066Martirosyan-Tran van Trung
107227897555Martirosyan-Tran van Trung
108027933323Martirosyan-Tran van Trung
108827965698Martirosyan-Tran van Trung
109628145152Martirosyan-Tran van Trung
110428160899Martirosyan-Tran van Trung
110628179103Martirosyan-Tran van Trung
111228216087Martirosyan-Tran van Trung
112028594893Martirosyan-Tran van Trung
112828700137Martirosyan-Tran van Trung
113628713712Martirosyan-Tran van Trung
114428735815Martirosyan-Tran van Trung
115228749933Martirosyan-Tran van Trung
115629064829Martirosyan-Tran van Trung
116229274885Power N37^2S6
119429516205Power N37^2S5
122729757525Power N37^2S4
126129998845Power N37^2S3
129630240165Power N37^2T1T1
133230481485Power N37^2T1
136930722805Power N37^2
138131353368Power N41^2S8
141531571267Power N41^2S7
145031789166Power N41^2S6
148632007065Power N41^2S5
152332224964Power N41^2S4
156132442863Power N41^2S3
160032660762Power N41^2T1T1
164032878661Power N41^2T1
168233096560Power N41^2+1
168333865690Power N43^2S4
172033878530Power N43^2T3
172333942603Power N43^2S3
176434019516Power N43^2T1T1
180634096429Power N43^2T1
185034173342Power N43^2+1
185135398542Add a factor
185236623742Add a factor
185636826599Martirosyan-Tran van Trung
186036837224Martirosyan-Tran van Trung
186236856396Martirosyan-Tran van Trung
187236862606Martirosyan-Tran van Trung
188036905320Power N47^2T7
188836939508Martirosyan-Tran van Trung
193636967302Power N47^2T3T3
193937075959Power N47^2T3S3
198137117350Power N47^2T3S2
202437158741Power N47^2T3T1
206837200132Power N47^2T3
207137308789Power N47^2S3
211637350180Power N47^2T1T1
216237391571Power N47^2T1
221037432962Power N47^2+1
221138715702Add a factor
221239998442Add a factor
223840927014Power N53^2S12
228141018344Power N53^2S11
232441109674Power N53^2S10
236841201004Power N53^2S9
241341292334Power N53^2S8
245941383664Power N53^2S7
250641474994Power N53^2S6
255441566324Power N53^2S5
260341657654Power N53^2S4
265341748984Power N53^2S3
288041818740Power 32^3T23T22
320041842567Power 32^3T22T22
352041888401Power 32^3T22T21
387241934235Power 32^3T21T21
403242022291Power 32^3T23T18
422442031345Power 32^3T21T20
448042046118Power 32^3T22T18
460842089352Power 32^3T23T16
492842091952Power 32^3T21T18
512042113179Power 32^3T22T16
563242159013Power 32^3T21T16
627242249669Power 32^3T18T18
716842316730Power 32^3T18T16
819242383791Power 32^3T16T16
870442527581Power 32^3T16T15
921642585514Power 32^3T16T14
924842671371Power 32^3T15T15
1000042709202Power 32^3T16T12
 Graph: