Table for CAN(5,k,6) for k up to 10000

Last Updated Sun Nov 19 11:04:53 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,6) 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
67776Derive from strength 6
710368Ji-Li-Yin
811664Xu-Ji-Dong
918475Torres-Jimenez
1021985Density Cyclic (Colbourn) postop NCK
1124602Density Cyclic (Colbourn) postop NCK
1227131Density Cyclic (Colbourn) postop NCK
1329279Density Cyclic (Colbourn) postop NCK
1431460Density Cyclic (Colbourn) postop NCK
1533505Density Cyclic (Colbourn) postop NCK
1635382Density Cyclic (Colbourn) postop NCK
1737184Density Cyclic (Colbourn) postop NCK
1838867Density Cyclic (Colbourn) postop NCK
1940536Density Cyclic (Colbourn) postop NCK
2042044Density Cyclic (Colbourn) postop NCK
2143531Density Cyclic (Colbourn) postop NCK
2245018Density Cyclic (Colbourn)
2346362Density Cyclic (Colbourn)
2447634Density Cyclic (Colbourn)
2548906Density Cyclic (Colbourn)
2652814IPOGF postop FSGF (RC-TJ)
2754032IPOGF postop FSGF (RC-TJ)
2855275IPOGF postop FSGF (RC-TJ)
2956353IPOGF postop FSGF (RC-TJ)
3057503IPOGF postop FSGF (RC-TJ)
3158576IPOGF postop FSGF (RC-TJ)
3259612IPOGF postop FSGF (RC-TJ)
3360608IPOGF postop FSGF (RC-TJ)
3461612IPOGF postop FSGF (RC-TJ)
3562557IPOGF postop FSGF (RC-TJ)
3663519IPOGF postop FSGF (RC-TJ)
3764385IPOGF postop FSGF (RC-TJ)
3865251IPOGF postop FSGF (RC-TJ)
3966124IPOGF postop FSGF (RC-TJ)
4066953IPOGF postop FSGF (RC-TJ)
4167865IPOGF postop FSGF (RC-TJ)
4268609IPOGF postop FSGF (RC-TJ)
4369407IPOGF postop FSGF (RC-TJ)
4470177IPOGF postop FSGF (RC-TJ)
4571062IPOGF postop FSGF (RC-TJ)
4671778IPOGF postop FSGF (RC-TJ)
4790498Add 1 factors
49936234-Restricted SCPHF RE (CL) fuse
55960174-Restricted SCPHF RE (CL) fuse
57984114-Restricted SCPHF RE (CL) fuse
621004693-Restricted SCPHF RE (CL) fuse
651007632-Restricted SCPHF RE (CL) fuse
67100805SCPHF Random Extension (CLS) fuse
751104234-Restricted SCPHF RE (CL) fuse
801128174-Restricted SCPHF RE (CL) fuse
861152114-Restricted SCPHF RE (CL) fuse
951172693-Restricted SCPHF RE (CL) fuse
981175632-Restricted SCPHF RE (CL) fuse
1021272234-Restricted SCPHF RE (CL) fuse
1201296174-Restricted SCPHF RE (CL) fuse
1301320114-Restricted SCPHF RE (CL) fuse
1371340693-Restricted SCPHF RE (CL) fuse
1471343632-Restricted SCPHF RE (CL) fuse
1551440234-Restricted SCPHF RE (CL) fuse
1741464174-Restricted SCPHF RE (CL) fuse
1921488114-Restricted SCPHF RE (CL) fuse
1981508693-Restricted SCPHF RE (CL) fuse
2051511632-Restricted SCPHF RE (CL) fuse
209151205SCPHF Random Extension (CLS) fuse
211151253CPHF Random Extension (CLS) fuse
2301608234-Restricted SCPHF RE (CL) fuse
2531632174-Restricted SCPHF RE (CL) fuse
2821656114-Restricted SCPHF RE (CL) fuse
3101676693-Restricted SCPHF RE (CL) fuse
3111679632-Restricted SCPHF RE (CL) fuse
318168059CPHF Random Extension (CLS) fuse
443184805SCPHF Random Extension (CLS) fuse
444184865CPHF Random Extension (CLS) fuse
631201605SCPHF Random Extension (CLS) fuse
632245495Add 1 factors
633266555Add 2 factors
635294750Add 4 factors
636298623Add 5 factors
638324203Add 7 factors
886365548Martirosyan-Colbourn
888365608Martirosyan-Colbourn
1262382348Martirosyan-Colbourn
1264426238Martirosyan-Colbourn
1266447298Martirosyan-Colbourn
1270475493Martirosyan-Colbourn
1272479366Martirosyan-Colbourn
1276504946Martirosyan-Colbourn
1772546291Martirosyan-Colbourn
1776546351Martirosyan-Colbourn
2524563091Martirosyan-Colbourn
2528606981Martirosyan-Colbourn
2532628041Martirosyan-Colbourn
2540656236Martirosyan-Colbourn
2544660109Martirosyan-Colbourn
2552685689Martirosyan-Colbourn
2814727034Martirosyan-Colbourn
2815792284Add 1 factors
3125806416perfect hash family4,3125,625
3164849674Power CZ3-23.1-22.7-21.13
3264849788Power CZ3-23.0-22.9-21.12
3314851096Power CZ3-23.1-22.8-21.12
3419851210Power CZ3-23.0-22.10-21.11
3471852518Power CZ3-23.1-22.9-21.11
3581852697Power CZ3-23.0-22.11-21.10
3636854005Power CZ3-23.1-22.10-21.10
3751854184Power CZ3-23.0-22.12-21.9
3809855492Power CZ3-23.1-22.11-21.9
3929855671Power CZ3-23.0-22.13-21.8
3990856979Power CZ3-23.1-22.12-21.8
4116857158Power CZ3-23.0-22.14-21.7
4180858466Power CZ3-23.1-22.13-21.7
4311858645Power CZ3-23.0-22.15-21.6
4379859953Power CZ3-23.1-22.14-21.6
4516860132Power CZ3-23.0-22.16-21.5
4587861440Power CZ3-23.1-22.15-21.5
4731861619Power CZ3-23.0-22.17-21.4
4805862927Power CZ3-23.1-22.16-21.4
4956863106Power CZ3-23.0-22.18-21.3
5033864414Power CZ3-23.1-22.17-21.3
5192864593Power CZ3-23.0-22.19-21.2
5272865901Power CZ3-23.1-22.18-21.2
5439866753Power CZ3-23.0-22.20-21.1
5523867473Power CZ3-23.1-22.19-21.1
5628868781Power CZ3-23.2-22.18-21.1
5698868913Power CZ3-23.0-22.21
5786869633Power CZ3-23.1-22.20
5896870353Power CZ3-23.2-22.19
5901871427Power CZ3-23.4-22.16-21.1
6028871661Power CZ3-23.3-22.18
6069872765Power CZ3-23.5-22.15-21.1
6182872969Power CZ3-23.4-22.17
6258874109Power CZ3-23.6-22.14-21.1
6358874307Power CZ3-23.5-22.16
6395875261Power CZ3-23.8-22.11-21.2
6468875453Power CZ3-23.7-22.13-21.1
6556875645Power CZ3-23.6-22.15
6583876462Power CZ3-23.10-22.8-21.3
6636876605Power CZ3-23.9-22.10-21.2
6699876797Power CZ3-23.8-22.12-21.1
6776876989Power CZ3-23.7-22.14
6783877634Power CZ3-23.13-22.3-21.5
6814877693Power CZ3-23.12-22.5-21.4
6851877806Power CZ3-23.11-22.7-21.3
6896877949Power CZ3-23.10-22.9-21.2
6951878141Power CZ3-23.9-22.11-21.1
7018878333Power CZ3-23.8-22.13
7058878997Power CZ3-23.15-22.0-21.6
7080879032Power CZ3-23.14-22.2-21.5
7106879067Power CZ3-23.13-22.4-21.4
7138879150Power CZ3-23.12-22.6-21.3
7177879293Power CZ3-23.11-22.8-21.2
7224879485Power CZ3-23.10-22.10-21.1
7282879677Power CZ3-23.9-22.12
7308880244Power CZ3-23.14-22.6-18.1
7394880430Power CZ3-23.15-22.1-21.5
7417880465Power CZ3-23.14-22.3-21.4
7444880524Power CZ3-23.13-22.5-21.3
7477880637Power CZ3-23.12-22.7-21.2
7518880829Power CZ3-23.11-22.9-21.1
7568881021Power CZ3-23.10-22.11
7581881549Power CZ3-23.18-19.1-19.1-21.1
7632881618Power CZ3-23.15-22.5-18.1
7726881828Power CZ3-23.16-22.0-21.5
7746881863Power CZ3-23.15-22.2-21.4
7770881898Power CZ3-23.14-22.4-21.3
7798881981Power CZ3-23.13-22.6-21.2
7833882173Power CZ3-23.12-22.8-21.1
7876882365Power CZ3-23.11-22.10
7938882824Power CZ3-23.18-18.1-21.1-21.1
7974882992Power CZ3-23.16-22.4-18.1
7980883057Power CZ3-23.18-19.1-20.1-21.1
8000883127Power CZ3-23.18-20.1-20.1-20.1
8093883261Power CZ3-23.16-22.1-21.4
8114883296Power CZ3-23.15-22.3-21.3
8139883355Power CZ3-23.14-22.5-21.2
8169883517Power CZ3-23.13-22.7-21.1
8206883709Power CZ3-23.12-22.9
8211884016Power CZ3-23.19-17.1-21.1
8228884100Power CZ3-23.18-22.2-17.1
8280884266Power CZ3-23.19-18.1-20.1
8316884306Power CZ3-23.18-18.1-21.1-22.1
8334884390Power CZ3-23.17-22.3-18.1
8379884495Power CZ3-23.18-19.1-21.1-21.1
8400884565Power CZ3-23.18-20.1-20.1-21.1
8459884659Power CZ3-23.17-22.0-21.4
8478884694Power CZ3-23.16-22.2-21.3
8500884729Power CZ3-23.15-22.4-21.2
8526884861Power CZ3-23.14-22.6-21.1
8558885053Power CZ3-23.13-22.8
8602885498Power CZ3-23.19-17.1-22.1
8694885704Power CZ3-23.19-18.1-21.1
8712885788Power CZ3-23.18-22.2-18.1
8740885937Power CZ3-23.19-19.1-20.1
8778885977Power CZ3-23.18-19.1-21.1-22.1
8820886003Power CZ3-23.18-20.1-21.1-21.1
8861886092Power CZ3-23.17-22.1-21.3
8881886127Power CZ3-23.16-22.3-21.2
8904886235Power CZ3-23.15-22.5-21.1
8932886397Power CZ3-23.14-22.7
8993886896Power CZ3-23.20-17.1
9108887186Power CZ3-23.19-18.1-22.1
9177887375Power CZ3-23.19-19.1-21.1
9200887445Power CZ3-23.19-20.1-20.1
9240887485Power CZ3-23.18-20.1-21.1-22.1
9261887490Power CZ3-23.18-22.0-21.3
9282887525Power CZ3-23.17-22.2-21.2
9303887609Power CZ3-23.16-22.4-21.1
9328887741Power CZ3-23.15-22.6
9522888584Power CZ3-23.20-18.1
9614888857Power CZ3-23.19-19.1-22.1
9660888883Power CZ3-23.19-20.1-21.1
9702888923Power CZ3-23.18-22.1-21.2
9723889007Power CZ3-23.17-22.3-21.1
9746889115Power CZ3-23.16-22.5
10000890255Power CZ3-23.20-19.1
 Graph: