Table for CAN(5,k,4) for k up to 10000

Last Updated Fri Mar 16 13:42:11 MST 2018

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,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
61024orthogonal array
71536Ji-Li-Yin
1017924-Restricted SCPHF RE (CL)
1119843-Restricted SCPHF RE (CL)
1428124-Restricted SCPHF RE (CL)
153064SCPHF Tabu Search (Walker-Colbourn)
1635804-Restricted SCPHF RE (CL)
1738324-Restricted SCPHF RE (CL)
1840243-Restricted SCPHF RE (CL)
194084SCPHF Random Extension (CLS)
204093CPHF Random Extension (CLS)
2246004-Restricted SCPHF RE (CL)
2448524-Restricted SCPHF RE (CL)
265104SCPHF Random Extension (CLS)
2756204-Restricted SCPHF RE (CL)
3058724-Restricted SCPHF RE (CL)
3161122-Restricted SCPHF RE (CL)
336124SCPHF Random Extension (CLS)
3666404-Restricted SCPHF RE (CL)
4068924-Restricted SCPHF RE (CL)
4171322-Restricted SCPHF RE (CL)
4274084-Restricted SCPHF RE (CL)
4576604-Restricted SCPHF RE (CL)
4979124-Restricted SCPHF RE (CL)
5181043-Restricted SCPHF RE (CL)
5481522-Restricted SCPHF RE (CL)
5786804-Restricted SCPHF RE (CL)
5989324-Restricted SCPHF RE (CL)
6191243-Restricted SCPHF RE (CL)
6491722-Restricted SCPHF RE (CL)
659184SCPHF Random Extension (CLS)
689208CPHF Random Extension (CLS)
7194484-Restricted SCPHF RE (CL)
7697004-Restricted SCPHF RE (CL)
7799524-Restricted SCPHF RE (CL)
79101443-Restricted SCPHF RE (CL)
85101922-Restricted SCPHF RE (CL)
8610204SCPHF Random Extension (CLS)
8710231CPHF Random Extension (CLS)
92107204-Restricted SCPHF RE (CL)
100109724-Restricted SCPHF RE (CL)
102111643-Restricted SCPHF RE (CL)
103112122-Restricted SCPHF RE (CL)
10611254CPHF Random Extension (CLS)
112117404-Restricted SCPHF RE (CL)
124119924-Restricted SCPHF RE (CL)
128121843-Restricted SCPHF RE (CL)
133122322-Restricted SCPHF RE (CL)
140125084-Restricted SCPHF RE (CL)
150127604-Restricted SCPHF RE (CL)
158130124-Restricted SCPHF RE (CL)
164132043-Restricted SCPHF RE (CL)
168132522-Restricted SCPHF RE (CL)
16913300CPHF Random Extension (CLS)
179135284-Restricted SCPHF RE (CL)
191137804-Restricted SCPHF RE (CL)
201140324-Restricted SCPHF RE (CL)
215142243-Restricted SCPHF RE (CL)
219142722-Restricted SCPHF RE (CL)
224145484-Restricted SCPHF RE (CL)
238148004-Restricted SCPHF RE (CL)
262150524-Restricted SCPHF RE (CL)
274152443-Restricted SCPHF RE (CL)
278152922-Restricted SCPHF RE (CL)
27915304SCPHF Random Extension (CLS)
28315346CPHF Random Extension (CLS)
287155684-Restricted SCPHF RE (CL)
307158204-Restricted SCPHF RE (CL)
332160724-Restricted SCPHF RE (CL)
343162643-Restricted SCPHF RE (CL)
346163122-Restricted SCPHF RE (CL)
36016324SCPHF Random Extension (CLS)
36216369CPHF Random Extension (CLS)
370165884-Restricted SCPHF RE (CL)
397168404-Restricted SCPHF RE (CL)
426170924-Restricted SCPHF RE (CL)
438172843-Restricted SCPHF RE (CL)
449173322-Restricted SCPHF RE (CL)
45117344SCPHF Random Extension (CLS)
463176084-Restricted SCPHF RE (CL)
490178604-Restricted SCPHF RE (CL)
532181124-Restricted SCPHF RE (CL)
542183043-Restricted SCPHF RE (CL)
551183522-Restricted SCPHF RE (CL)
55318364SCPHF Random Extension (CLS)
55418415CPHF Random Extension (CLS)
570186284-Restricted SCPHF RE (CL)
614188804-Restricted SCPHF RE (CL)
631191324-Restricted SCPHF RE (CL)
656193243-Restricted SCPHF RE (CL)
66419384SCPHF Random Extension (CLS)
66525012Add 1 factors
66627556Add 2 factors
66728324Add 3 factors
66829092Add 4 factors
66932189Add 5 factors
68034094Martirosyan-Colbourn
68635501Martirosyan-Colbourn
69035549Martirosyan-Colbourn
69235567Martirosyan-Colbourn
72035579Martirosyan-Colbourn
72435624Martirosyan-Colbourn
74035843Martirosyan-Colbourn
76236095Martirosyan-Colbourn
79438000Martirosyan-Colbourn
85238252Martirosyan-Colbourn
87638444Martirosyan-Colbourn
89838492Martirosyan-Colbourn
90238504Martirosyan-Colbourn
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98040172Martirosyan-Colbourn
102440424Martirosyan-Colbourn
106440439Martirosyan-Colbourn
108440631Martirosyan-Colbourn
109240679Martirosyan-Colbourn
110240904Martirosyan-Colbourn
110640916Martirosyan-Colbourn
110840967Martirosyan-Colbourn
111641180Martirosyan-Colbourn
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126242824Martirosyan-Colbourn
130843016Martirosyan-Colbourn
131243304Martirosyan-Colbourn
132843364Martirosyan-Colbourn
133048992Martirosyan-Colbourn
133251536Martirosyan-Colbourn
133452304Martirosyan-Colbourn
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135658074Martirosyan-Colbourn
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138459835Martirosyan-Colbourn
140459847Martirosyan-Colbourn
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144860516Martirosyan-Colbourn
146860735Martirosyan-Colbourn
148061023Martirosyan-Colbourn
151661275Martirosyan-Colbourn
152461467Martirosyan-Colbourn
154863372Martirosyan-Colbourn
156163459perfect hash family9,1681,41S3
158863660Martirosyan-Colbourn
160063699perfect hash family9,1681,41S2
164063939perfect hash family9,1681,41T1
168164179perfect hash family9,1681,41
170464824Martirosyan-Colbourn
170865016Martirosyan-Colbourn
171665064Martirosyan-Colbourn
175265304Martirosyan-Colbourn
175665352Martirosyan-Colbourn
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196067824Martirosyan-Colbourn
204868076Martirosyan-Colbourn
212868091Martirosyan-Colbourn
216868283Martirosyan-Colbourn
218468331Martirosyan-Colbourn
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222268913Martirosyan-Colbourn
223069039Martirosyan-Colbourn
223271106Martirosyan-Colbourn
228071674Power CZ3-19.17-8.1-15.1
247571764Power CZ3-19.16-11.1-15.1-15.1
267371770Power CZ3-19.15-15.4
270072298Power CZ3-19.16-12.1-15.1-15.1
280572415Power CZ3-19.16-11.1-15.1-17.1
292572549Power CZ3-19.16-13.1-15.1-15.1
297072607Power CZ3-19.16-11.1-15.1-18.1
315072785Power CZ3-19.16-14.1-15.1-15.1
337572790Power CZ3-19.16-15.1-15.1-15.1
360073204Power CZ3-19.16-15.1-15.1-16.1
382573429Power CZ3-19.16-15.1-15.1-17.1
405073621Power CZ3-19.16-15.1-15.1-18.1
427573810Power CZ3-19.17-15.1-15.1
432074047Power CZ3-19.16-15.1-16.1-18.1
433574080Power CZ3-19.16-15.1-17.1-17.1
456074236Power CZ3-19.17-15.1-16.1
459074272Power CZ3-19.16-15.1-17.1-18.1
484574461Power CZ3-19.17-15.1-17.1
486074464Power CZ3-19.16-18.2-15.1
513074653Power CZ3-19.17-15.1-18.1
541574842Power CZ3-19.18-15.1
547275079Power CZ3-19.17-16.1-18.1
549175112Power CZ3-19.17-17.1-17.1
577675268Power CZ3-19.18-16.1
581475304Power CZ3-19.17-17.1-18.1
613775493Power CZ3-19.18-17.1
615675496Power CZ3-19.17-18.1-18.1
649875685Power CZ3-19.18-18.1
685975874Power CZ3-19.19
686077748Power CT19^3+1
686186508Add 1 factors
686287381Power CT19^3+3
688088890Power CT23^3T3S10
701888893Power CT23^3S13
716089142Power CT23^3T3S9
728289145Power CT23^3S12
746089394Power CT23^3T3S8
756889397Power CT23^3S11
778089646Power CT23^3T3S7
787689649Power CT23^3S10
800089892Power CT23^3T3T3T3
812089898Power CT23^3T3S6
820689901Power CT23^3S9
848090150Power CT23^3T3S5
855890153Power CT23^3S8
880090399Power CT23^3T3T3T1
886090402Power CT23^3T3S4
893290405Power CT23^3S7
920090651Power CT23^3T3T3
926090654Power CT23^3T3S3
932890657Power CT23^3S6
968090906Power CT23^3T3T1T1
974690909Power CT23^3S5
1000091158Power CT23^3T3T1
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