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

Last Updated Sat Jul 28 12:53:06 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,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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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
212839707CPHF Random Extension (CLS) fuse fuse fuse
233070224Martirosyan-TVT variant
3330801724-Restricted SCPHF RE (CL) fuse fuse
3631416123-Restricted SCPHF RE (CL) fuse fuse
3831454522-Restricted SCPHF RE (CL) fuse fuse
5340632124,4-Restricted SCPHF RE (CL) fuse fuse
5641287324-Restricted SCPHF RE (CL) fuse fuse
6441901723-Restricted SCPHF RE (CL) fuse fuse
664194252SCPHF Random Extension (CLS) 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
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
105527291272Martirosyan-TVT variant
112327316024Martirosyan-TVT variant
112527340776Martirosyan-TVT variant
114127415032Martirosyan-TVT variant
115727538792Martirosyan-TVT variant
116327662968Martirosyan-TVT variant
118927749160Martirosyan-TVT variant
123527773912Martirosyan-TVT variant
125527823416Martirosyan-TVT variant
127327996680Martirosyan-TVT variant
129328050024Martirosyan-TVT variant
134129001272Martirosyan-TVT variant
135729026024Martirosyan-TVT variant
142929050776Martirosyan-TVT variant
143329100280Martirosyan-TVT variant
145729125032Martirosyan-TVT variant
147729174536Martirosyan-TVT variant
148929199288Martirosyan-TVT variant
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
328436765219Power N-CT67^2Arc(9)T11
374836826659Power N-CT67^2Arc(9)T3
380636830739Power N-CT67^2Arc(9)T2
392237748259Power N-CT67^2Arc(9)
398138665779Power N-CT67^2Arc(8)
404139583299Power N-CT67^2Arc(7)
410240500819Power N-CT67^2Arc(6)
416441418339Power N-CT67^2Arc(5)
422742335859Power N-CT67^2Arc(4)
429143253379Power N-CT67^2Arc(3)
435644170899Power N-CT67^2T1T1
471744957379Power N-CT89^2T36
498445022899Power N-CT89^2T33
569645084339Power N-CT89^2T25
587445088419Power N-CT89^2T23
588845542979Power N-CT97^2T33T5
607245547059Power N-CT97^2T31T5
659245608499perfect hash family9,10609,103T39
679845612579perfect hash family9,10609,103T37
792446005939Power N-CT89^2+3
802946399059Power N-CT97^2Trin5,5,5
846446464579Power N-CT97^2T5T5
947646530099perfect hash family9,10609,103T11
1000046595619Power N-CT101^2