Table for CAN(6,k,12) for k up to 10000

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,12) 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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144826808fuse symbols
158596728extend by one factor
1612366648extend by one factor
1716777212fuse symbols
2423189040Martirosyan-Tran van Trung
2823210965Martirosyan-Tran van Trung
2933097897extend by one factor
3042984829extend by one factor
3157680785extend by one factor
3260016772Martirosyan-Tran van Trung
3465226848Martirosyan-Tran van Trung
3667575299perfect hash family
3972402106perfect hash family
4074151428Martirosyan-Tran van Trung
4275407804Martirosyan-Tran van Trung
4476664180Martirosyan-Tran van Trung
6577228913perfect hash family
6695208897extend by one factor
69111016562perfect hash family
70128996546extend by one factor
72144804211perfect hash family
120146144360perfect hash family
121164124344extend by one factor
122182104328extend by one factor
123197724722perfect hash family
256197866353Power 16^2
257226039377extend by one factor
258254212401extend by one factor
289268435377Power 17^2
290296608401extend by one factor
291324781425extend by one factor
292352954449extend by one factor
312368980771Martirosyan-Tran van Trung
338369043256Martirosyan-Tran van Trung
530371024625Power 24^2
730371375425Power 28^2
731410237281extend by one factor
732449099137extend by one factor
733487960993extend by one factor
841496468441linear hash family
842538295545extend by one factor
843580122649extend by one factor
844621949753extend by one factor
845663776857extend by one factor
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848789258169extend by one factor
884817675615Martirosyan-Tran van Trung
896818166391Martirosyan-Tran van Trung
900820858608Martirosyan-Tran van Trung
930821155344Martirosyan-Tran van Trung
936822183904Martirosyan-Tran van Trung
954822427224Martirosyan-Tran van Trung
960824469724Martirosyan-Tran van Trung
988824531544Martirosyan-Tran van Trung
1004826003872Martirosyan-Tran van Trung
1060826028600Martirosyan-Tran van Trung
1080826379400Martirosyan-Tran van Trung
1140826515404Martirosyan-Tran van Trung
1200826651408Martirosyan-Tran van Trung
1248826762684Martirosyan-Tran van Trung
1272828497219Martirosyan-Tran van Trung
1292828720101Martirosyan-Tran van Trung
1332828856105Martirosyan-Tran van Trung
1352830033737Martirosyan-Tran van Trung
1360831506065Martirosyan-Tran van Trung
1460837494432Martirosyan-Tran van Trung
1461879321536extend by one factor
1462891322052Martirosyan-Tran van Trung
1463933149156extend by one factor
1464933607097Martirosyan-Tran van Trung
1466974201915Martirosyan-Tran van Trung
1470982709363Martirosyan-Tran van Trung
1472994485683Martirosyan-Tran van Trung
1516994621687Martirosyan-Tran van Trung
1534994757691Martirosyan-Tran van Trung
15361021827798Martirosyan-Tran van Trung
15521025793331Martirosyan-Tran van Trung
15601025818059Martirosyan-Tran van Trung
15681026109592Martirosyan-Tran van Trung
16521026245596Martirosyan-Tran van Trung
16641050419640Martirosyan-Tran van Trung
16801050665028Martirosyan-Tran van Trung
16821050937036Martirosyan-Tran van Trung
18501073298507linear hash family
37251081204769linear hash family
37261143775937extend by one factor
37271206347105extend by one factor
40971235662593perfect hash family
40981301014341extend by one factor
40991366366089extend by one factor
41001431717837extend by one factor
41011472176136perfect hash family
41021537527884extend by one factor
44911554231855linear hash family
44921622172915extend by one factor
44931690113975extend by one factor
45601729108212Martirosyan-Tran van Trung
46281729244216Martirosyan-Tran van Trung
47321731240704Martirosyan-Tran van Trung
100001788104305Power 31^3