Table for CAN(5,k,14) 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,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
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514063212Quad-Restricted SCPHF RE (C) fuse fuse
544128732Quad-Restricted SCPHF RE (C) fuse fuse
654194252SCPHF Random Extension (CLS) fuse fuse
925111772Quad-Restricted SCPHF RE (C) fuse fuse
1015177292Quad-Restricted SCPHF RE (C) fuse fuse
1145242812SCPHF Random Extension (CLS) fuse fuse
1175242872CPHF Random Extension (CLS) fuse fuse
1436094812Quad-Restricted SCPHF RE (C) fuse fuse
1606160332Quad-Restricted SCPHF RE (C) fuse fuse
1816225852Quad-Restricted SCPHF RE (C) fuse fuse
2076291372SCPHF Random Extension (CLS) fuse fuse
3797339932SCPHF Random Extension (CLS) fuse fuse
6318388492SCPHF Random Extension (CLS) fuse fuse
63210640924Add 1 factors
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67213611163Add 1 factors
67315119579Add 2 factors
67416313079Add 3 factors
67516327231Add 4 factors
67616457598Add 5 factors
68718445451Add 16 factors
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78322061081Add 1 factors
78423592429Add 2 factors
78524791347Add 3 factors
78624802718Add 4 factors
78724933967Add 5 factors
94525165473perfect hash family3,945,631
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129331023623Martirosyan-TVT variant
134131122631Martirosyan-TVT variant
134231221639Martirosyan-TVT
189532505404perfect hash family4,3125,625T246
312533553964perfect hash family4,3125,625
312636983390Add 1 factors
329437682739Power N-CT61^2T7
372537748259perfect hash family9,3725,65
372641194247Add 1 factors
372742860639Add 2 factors
409943253379Power N-CT67^2Trin2,2,2
422544170899Power N-CT67^2T2T2
453944957379Power N-CT89^2T38
480645022899Power N-CT89^2T35
578545088419Power N-CT89^2T24
598045547059Power N-CT97^2T32T5
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
 Graph: