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

Last Updated Fri Sep 15 07:41:46 MST 2017

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
101792Quad-Restricted SCPHF RE (C)
112032Path-Restricted SCPHF RE (C)
142812Quad-Restricted SCPHF RE (C)
153064SCPHF Tabu Search (Walker-Colbourn)
163580Quad-Restricted SCPHF RE (C)
173832Quad-Restricted SCPHF RE (C)
184024Tri-Restricted SCPHF RE (C)
194084SCPHF Random Extension (CLS)
204093CPHF Random Extension (CLS)
224600Quad-Restricted SCPHF RE (C)
244852Quad-Restricted SCPHF RE (C)
265104SCPHF Random Extension (CLS)
275620Quad-Restricted SCPHF RE (C)
305872Quad-Restricted SCPHF RE (C)
336124SCPHF Random Extension (CLS)
366640Quad-Restricted SCPHF RE (C)
406892Quad-Restricted SCPHF RE (C)
417132Path-Restricted SCPHF RE (C)
427408Quad-Restricted SCPHF RE (C)
457660Quad-Restricted SCPHF RE (C)
497912Quad-Restricted SCPHF RE (C)
518104Tri-Restricted SCPHF RE (C)
548152Path-Restricted SCPHF RE (C)
578680Quad-Restricted SCPHF RE (C)
598932Quad-Restricted SCPHF RE (C)
659184SCPHF Random Extension (CLS)
689208CPHF Random Extension (CLS)
719448Quad-Restricted SCPHF RE (C)
769700Quad-Restricted SCPHF RE (C)
779952Quad-Restricted SCPHF RE (C)
8610204SCPHF Random Extension (CLS)
8710231CPHF Random Extension (CLS)
9210720Quad-Restricted SCPHF RE (C)
10010972Quad-Restricted SCPHF RE (C)
10311224SCPHF Random Extension (CLS)
10611254CPHF Random Extension (CLS)
11211740Quad-Restricted SCPHF RE (C)
12411992Quad-Restricted SCPHF RE (C)
13112244SCPHF Random Extension (CLS)
13212277CPHF Random Extension (CLS)
13812508Quad-Restricted SCPHF RE (C)
15012760Quad-Restricted SCPHF RE (C)
15813012Quad-Restricted SCPHF RE (C)
16613264SCPHF Random Extension (CLS)
16913300CPHF Random Extension (CLS)
17513528Quad-Restricted SCPHF RE (C)
19113780Quad-Restricted SCPHF RE (C)
20114032Quad-Restricted SCPHF RE (C)
21114284SCPHF Random Extension (CLS)
21714323CPHF Random Extension (CLS)
22414548Quad-Restricted SCPHF RE (C)
23814800Quad-Restricted SCPHF RE (C)
26115052Quad-Restricted SCPHF RE (C)
27715304SCPHF Random Extension (CLS)
28315346CPHF Random Extension (CLS)
36016324SCPHF Random Extension (CLS)
36216369CPHF Random Extension (CLS)
44617344SCPHF Random Extension (CLS)
44717392CPHF Random Extension (CLS)
55318364SCPHF Random Extension (CLS)
55418415CPHF Random Extension (CLS)
66419384SCPHF Random Extension (CLS)
66525012Add 1 factors
66627556Add 2 factors
66728324Add 3 factors
66829092Add 4 factors
66932189Add 5 factors
68635561Martirosyan-Colbourn
72035579Martirosyan-Colbourn
72435624Martirosyan-Colbourn
76236599Martirosyan-Colbourn
89238504Martirosyan-Colbourn
89438552Martirosyan-Colbourn
92439524Martirosyan-Colbourn
102440676Martirosyan-Colbourn
109240691Martirosyan-Colbourn
110640916Martirosyan-Colbourn
110840967Martirosyan-Colbourn
111641936Martirosyan-Colbourn
122842596Martirosyan-Colbourn
130843076Martirosyan-Colbourn
132843364Martirosyan-Colbourn
133048992Martirosyan-Colbourn
133251536Martirosyan-Colbourn
133452304Martirosyan-Colbourn
133653072Martirosyan-Colbourn
133856169Martirosyan-Colbourn
135659541Martirosyan-Colbourn
137259829Martirosyan-Colbourn
140459847Martirosyan-Colbourn
141260231Martirosyan-Colbourn
144060471Martirosyan-Colbourn
144860516Martirosyan-Colbourn
146861491Martirosyan-Colbourn
151661779Martirosyan-Colbourn
152461971Martirosyan-Colbourn
156163459perfect hash family9,1681,41S3
160063699perfect hash family9,1681,41S2
164063939perfect hash family9,1681,41T1
168164179perfect hash family9,1681,41
170865076Martirosyan-Colbourn
171665124Martirosyan-Colbourn
175665364Martirosyan-Colbourn
178465553Martirosyan-Colbourn
178865601Martirosyan-Colbourn
184866573Martirosyan-Colbourn
187267725Martirosyan-Colbourn
188468304Martirosyan-Colbourn
204868364Martirosyan-Colbourn
212668379Martirosyan-Colbourn
218468505Martirosyan-Colbourn
219468730Martirosyan-Colbourn
221268775Martirosyan-Colbourn
221668826Martirosyan-Colbourn
223069795Martirosyan-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
 Graph: