Table for CAN(5,k,14) 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,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
1920968922-Restricted SCPHF RE (CL) fuse fuse
202097132SCPHF Random Extension (CLS) fuse fuse
212839707CPHF Random Extension (CLS) fuse fuse fuse
233070224Martirosyan-TVT variant
3330801724-Restricted SCPHF RE (CL) fuse fuse
3531416123-Restricted SCPHF RE (CL) fuse fuse
3631454522-Restricted SCPHF RE (CL) fuse fuse
5140632124-Restricted SCPHF RE (CL) fuse fuse
5441287324-Restricted SCPHF RE (CL) fuse fuse
6041901723-Restricted SCPHF RE (CL) fuse fuse
6241940122-Restricted SCPHF RE (CL) fuse fuse
654194252SCPHF Random Extension (CLS) fuse fuse
9251117724-Restricted SCPHF RE (CL) fuse fuse
10151772924-Restricted SCPHF RE (CL) fuse fuse
10652387323-Restricted SCPHF RE (CL) fuse fuse
11852425722-Restricted SCPHF RE (CL) fuse fuse
14360948124-Restricted SCPHF RE (CL) fuse fuse
16161603324-Restricted SCPHF RE (CL) fuse fuse
18162258524-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
24671433724-Restricted SCPHF RE (CL) fuse fuse
28172088924-Restricted SCPHF RE (CL) fuse fuse
33672744124-Restricted SCPHF RE (CL) fuse fuse
35973358523-Restricted SCPHF RE (CL) fuse fuse
37673396922-Restricted SCPHF RE (CL) fuse fuse
3797339932SCPHF Random Extension (CLS) fuse fuse
45181919324-Restricted SCPHF RE (CL) fuse fuse
51582574524-Restricted SCPHF RE (CL) fuse fuse
58183229724-Restricted SCPHF RE (CL) fuse fuse
62883844123-Restricted SCPHF RE (CL) fuse fuse
6318388492SCPHF Random Extension (CLS) fuse fuse
63210640924Add 1 factors
67111358731SCPHF Random Extension (CLS) fuse fuse fuse
67213611163Add 1 factors
67315119579Add 2 factors
67416313079Add 3 factors
67516327231Add 4 factors
67616457598Add 5 factors
68718445451Add 16 factors
78219808649SCPHF Random Extension (CLS) fuse fuse fuse fuse fuse
78322061081Add 1 factors
78423592429Add 2 factors
78524791347Add 3 factors
78624802718Add 4 factors
80424903393perfect hash family3,870,581T66
87024968913perfect hash family3,870,581
89325091793perfect hash family3,939,627T46
89525099953perfect hash family3,945,631T50
94025153233perfect hash family3,940,628
94225161393perfect hash family3,945,631T3
94525165473perfect hash family3,945,631
95126776680Martirosyan-TVT variant
96326850936Martirosyan-TVT variant
102126953480Martirosyan-TVT variant
102327201000Martirosyan-TVT variant
105527291272Martirosyan-TVT variant
112327316024Martirosyan-TVT variant
112527340776Martirosyan-TVT variant
114127415032Martirosyan-TVT variant
115727538792Martirosyan-TVT variant
116327724408Martirosyan-TVT variant
118927749160Martirosyan-TVT variant
123527773912Martirosyan-TVT variant
125527823416Martirosyan-TVT variant
127330970999Martirosyan-TVT variant
129331020503Martirosyan-TVT variant
134131119511Martirosyan-TVT variant
140532362124perfect hash family4,3125,625T344
168032427644perfect hash family4,3125,625T289
179532489084perfect hash family4,3125,625T266
188032492924perfect hash family4,3125,625T249
189532493164perfect hash family4,3125,625T246
225533345164perfect hash family4,3125,625T174
257533410684perfect hash family4,3125,625T110
290533476204perfect hash family4,3125,625T44
312533537644perfect hash family4,3125,625
312636967070Add 1 factors
318637650099Power N-CT59^2T5
318737673139Power N-CT61^2Arc(2)T7
324037676979Power N-CT61^2T7T1
329437680819Power N-CT61^2T7
348237711539Power N-CT59^2+1
348337730739Power N-CT61^2Arc(4)
354137734579Power N-CT61^2Arc(3)
360037738419Power N-CT61^2T1T1
366037742259Power N-CT61^2T1
372237746099Power N-CT61^2+1
372537748259perfect hash family9,3725,65
372641194247Add 1 factors
372742819871Add 2 factors
378443249299Power N-CT67^2Trin2,2,7
391043253139Power N-CT67^2Trin2,2,5
409943253379Power N-CT67^2Trin2,2,2
422544170899Power N-CT67^2T2T2
453944957379Power N-CT89^2T38
480645022899Power N-CT89^2T35
534045084339Power N-CT89^2T29
551845088179Power N-CT89^2T27
578545088419Power N-CT89^2T24
598045547059Power N-CT97^2T32T5
606045608499Power N-CT101^2T41
626245612339Power N-CT101^2T39
656545612579Power N-CT101^2T36
792446005939Power N-CT89^2+3
802946399059Power N-CT97^2Trin5,5,5
846446464579Power N-CT97^2T5T5
929246530099Power N-CT101^2T9
1000046595619Power N-CT101^2