Table for CAN(5,k,14) for k up to 10000

Last Updated Tue Mar 8 20:11:31 MST 2022

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,14) 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
6537824Derive from strength 6
7621306Augment OA
8666168Augment OA
9712680Augment OA
10760428Augment OA
11808930Augment OA
12857559Augment OA
13905650Augment OA
14952188Augment OA
171048572orthogonal array fuse fuse
181419851orthogonal array fuse fuse fuse
2020930523-Restricted SCPHF RE (CL) fuse fuse
212097147CPHF IPO 2 (WCS) fuse fuse
222933390Martirosyan-TVT
233070224Martirosyan-TVT variant
3330801724-Restricted SCPHF RE (CL) fuse fuse
3631416123-Restricted SCPHF RE (CL) fuse fuse
3831454522-Restricted SCPHF RE (CL) fuse fuse
393145722CPHF IPO 3 (WCS) fuse fuse
5340632124,4-Restricted SCPHF RE (CL) fuse fuse
5641287324-Restricted SCPHF RE (CL) fuse fuse
6241860923,3-Restricted SCPHF RE (CL) fuse fuse
6441901723-Restricted SCPHF RE (CL) fuse fuse
664194252SCPHF Random Extension (CLS) fuse fuse
734194297CPHF IPO 4 (WCS) fuse fuse
9251117724,4-Restricted SCPHF RE (CL) fuse fuse
10351772924-Restricted SCPHF RE (CL) fuse fuse
11152387323-Restricted SCPHF RE (CL) fuse fuse
11952425722-Restricted SCPHF RE (CL) fuse fuse
1455242872CPHF IPO 5 (WCS) fuse fuse
14660948124,4,4-Restricted SCPHF RE (CL) fuse fuse
16561603324,4-Restricted SCPHF RE (CL) fuse fuse
18562258524-Restricted SCPHF RE (CL) fuse fuse
19762872923-Restricted SCPHF RE (CL) fuse fuse
20662911322-Restricted SCPHF RE (CL) fuse fuse
2076291372SCPHF Random Extension (CLS) fuse fuse
2106291447CPHF Random Extension (CLS) fuse fuse
24871433724,4,4-Restricted SCPHF RE (CL) fuse fuse
28472088924,4-Restricted SCPHF RE (CL) fuse fuse
33672744124-Restricted SCPHF RE (CL) fuse fuse
36073358523-Restricted SCPHF RE (CL) fuse fuse
37673396922-Restricted SCPHF RE (CL) fuse fuse
3797339932SCPHF Random Extension (CLS) fuse fuse
45481919324,4,4-Restricted SCPHF RE (CL) fuse fuse
51582574524,4-Restricted SCPHF RE (CL) fuse fuse
58283229724-Restricted SCPHF RE (CL) fuse fuse
64183844123-Restricted SCPHF RE (CL) fuse fuse
65083882522-Restricted SCPHF RE (CL) fuse fuse
6568388492SCPHF Random Extension (CLS) fuse fuse
76692404924,4,4-Restricted SCPHF RE (CL) fuse fuse
76711492924Add 1 factors
76813024272Add 2 factors
76914223190Add 3 factors
77014234561Add 4 factors
77114365810Add 5 factors
78216361772Add 16 factors
78317822636Add 17 factors
838198018093-Restricted SCPHF RE (CL) fuse fuse fuse fuse fuse
851198083072-Restricted SCPHF RE (CL) fuse fuse fuse fuse fuse
85222060739Add 1 factors
85323592087Add 2 factors
85424791005Add 3 factors
85524802376Add 4 factors
85624933625Add 5 factors
87124968913perfect hash family3,871,582
90125091793perfect hash family3,960,641T59
90525099473perfect hash family3,972,649T67
90825099953perfect hash family3,981,655T73
96025153233perfect hash family3,960,641
96425160913perfect hash family3,972,649T8
96725161393perfect hash family3,981,655T14
97325164753perfect hash family3,973,650
97625165233perfect hash family3,981,655T5
98225165473perfect hash family3,982,656
102226865393perfect hash family3,1146,765T124
103126869233perfect hash family3,1146,765T115
103726869473perfect hash family3,1146,765T109
103827238232Martirosyan-TVT
105527288152Martirosyan-TVT variant
112327312904Martirosyan-TVT variant
112527337656Martirosyan-TVT variant
114127411912Martirosyan-TVT variant
115727535672Martirosyan-TVT variant
116327609928Martirosyan-TVT variant
116427634680Martirosyan-TVT
118927696120Martirosyan-TVT variant
123527720872Martirosyan-TVT variant
125527770376Martirosyan-TVT variant
126827943640Martirosyan-TVT
127227946760Martirosyan-TVT
127327993560Martirosyan-TVT variant
128228043064Martirosyan-TVT
129328046904Martirosyan-TVT variant
130028145912Martirosyan-TVT
131228146152Martirosyan-TVT
134128998152Martirosyan-TVT variant
135729022904Martirosyan-TVT variant
142929047656Martirosyan-TVT variant
143329097160Martirosyan-TVT variant
145729121912Martirosyan-TVT variant
147729171416Martirosyan-TVT variant
148929196168Martirosyan-TVT variant
149029220920Martirosyan-TVT
152829224040Martirosyan-TVT
153229227160Martirosyan-TVT
153431479592Martirosyan-TVT
168032427644perfect hash family4,3125,625T289
180032489084perfect hash family4,3125,625T265
188032492924perfect hash family4,3125,625T249
189532493164perfect hash family4,3125,625T246
227033345164perfect hash family4,3125,625T171
257533410684perfect hash family4,3125,625T110
291033476204perfect hash family4,3125,625T43
312533537644perfect hash family4,3125,625
312636967070Add 1 factors
323337551939Power N-CT61^2T8
324237609329Power N-CT67^2Trin3,3,14
328637609374Power N-CT67^2T14T5
334237613409Power N-CT67^2Trin1,3,14
339237613454Power N-CT67^2T14T3
339537617444Power N-CT67^2Arc(3)T14
341637617459Power N-CT61^2T5
344637617489Power N-CT67^2Arc(2)T14
349837617534Power N-CT67^2T14T1
386937617579Power N-CT73^2T20
408837683099Power N-CT73^2T17
409637740414Power N-CT67^2T3T3
452637740459Power N-CT73^2T11
467237744539Power N-CT73^2T9
481837748619Power N-CT73^2T7
532937748664Power N-CT73^2
533041717174Add 1 factors
533143424334Add 2 factors
533344654840Add 4 factors
533444792851Add 5 factors
551845080259Power N-CT89^2T27
569645084339Power N-CT89^2T25
587445088419Power N-CT89^2T23
649745088464Power N-CT89^2T16
671645547104Power N-CT97^2T24T5
679845612579perfect hash family9,10609,103T37
751945612624perfect hash family9,10609,103T30
792446005939Power N-CT89^2+3
795746104144perfect hash family9,11881,109T36
824946134864perfect hash family9,12769,113T40
873246137264perfect hash family9,14986,126T53
947646530099perfect hash family9,10609,103T11
1000046595619Power N-CT101^2
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