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

Last Updated Wed Jun 6 17:38:18 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,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 MPO (TJ-RC)
2754032IPOGF postop MPO (TJ-RC)
2855275IPOGF postop MPO (TJ-RC)
2956353IPOGF postop MPO (TJ-RC)
3057503IPOGF postop MPO (TJ-RC)
3158576IPOGF postop MPO (TJ-RC)
3259612IPOGF postop MPO (TJ-RC)
3360608IPOGF postop MPO (TJ-RC)
3461612IPOGF postop MPO (TJ-RC)
3562557IPOGF postop MPO (TJ-RC)
3663519IPOGF postop MPO (TJ-RC)
3764385IPOGF postop MPO (TJ-RC)
3865251IPOGF postop MPO (TJ-RC)
3966124IPOGF postop MPO (TJ-RC)
4066953IPOGF postop MPO (TJ-RC)
4167865IPOGF postop MPO (TJ-RC)
4268609IPOGF postop MPO (TJ-RC)
4369407IPOGF postop MPO (TJ-RC)
4470177IPOGF postop MPO (TJ-RC)
4571062IPOGF postop MPO (TJ-RC)
4671778IPOGF postop MPO (TJ-RC)
4784005SCPHF Random Extension (CLS) fuse
50936234-Restricted SCPHF RE (CL) fuse
59960174-Restricted SCPHF RE (CL) fuse
61984114-Restricted SCPHF RE (CL) fuse
671004693-Restricted SCPHF RE (CL) fuse
761104234-Restricted SCPHF RE (CL) fuse
821128174-Restricted SCPHF RE (CL) fuse
881152114-Restricted SCPHF RE (CL) fuse
961172693-Restricted SCPHF RE (CL) fuse
991175632-Restricted SCPHF RE (CL) fuse
1121272234-Restricted SCPHF RE (CL) fuse
1211296174-Restricted SCPHF RE (CL) fuse
1321320114-Restricted SCPHF RE (CL) fuse
1401340693-Restricted SCPHF RE (CL) fuse
1481343632-Restricted SCPHF RE (CL) fuse
149134405SCPHF Random Extension (CLS) fuse
1571440234-Restricted SCPHF RE (CL) fuse
1791464174-Restricted SCPHF RE (CL) fuse
1951488114-Restricted SCPHF RE (CL) fuse
2011508693-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
2841656114-Restricted SCPHF RE (CL) fuse
3151676693-Restricted SCPHF RE (CL) fuse
318168059CPHF Random Extension (CLS) fuse
3411776234-Restricted SCPHF RE (CL) fuse
3611800174-Restricted SCPHF RE (CL) fuse
4181824114-Restricted SCPHF RE (CL) fuse
4471844693-Restricted SCPHF RE (CL) fuse
4511847632-Restricted SCPHF RE (CL) fuse
454184805SCPHF Random Extension (CLS) fuse
455184865CPHF Random Extension (CLS) fuse
4951944234-Restricted SCPHF RE (CL) fuse
5461968174-Restricted SCPHF RE (CL) fuse
5921992114-Restricted SCPHF RE (CL) fuse
6282012693-Restricted SCPHF RE (CL) fuse
6602015632-Restricted SCPHF RE (CL) fuse
661201605SCPHF Random Extension (CLS) fuse
662245495Add 1 factors
663267095Add 2 factors
664295425Add 4 factors
665295467Add 4 factors
666299394Add 5 factors
667325043Add 7 factors
668325085Add 7 factors
682358366Martirosyan-Colbourn
722360760Martirosyan-Colbourn
836363154Martirosyan-Colbourn
894365212Martirosyan-Colbourn
902365506Martirosyan-Colbourn
908365548Martirosyan-Colbourn
910365608Martirosyan-Colbourn
990375166Martirosyan-Colbourn
1092377560Martirosyan-Colbourn
1184379954Martirosyan-Colbourn
1256382012Martirosyan-Colbourn
1320382306Martirosyan-Colbourn
1322382348Martirosyan-Colbourn
1324426238Martirosyan-Colbourn
1326447838Martirosyan-Colbourn
1328476168Martirosyan-Colbourn
1330476210Martirosyan-Colbourn
1332480137Martirosyan-Colbourn
1334505786Martirosyan-Colbourn
1336505828Martirosyan-Colbourn
1364539109Martirosyan-Colbourn
1444541503Martirosyan-Colbourn
1672543897Martirosyan-Colbourn
1788545955Martirosyan-Colbourn
1804546249Martirosyan-Colbourn
1816546291Martirosyan-Colbourn
1820546351Martirosyan-Colbourn
1980555909Martirosyan-Colbourn
2184558303Martirosyan-Colbourn
2368560697Martirosyan-Colbourn
2512562755Martirosyan-Colbourn
2640563049Martirosyan-Colbourn
2644563091Martirosyan-Colbourn
2648606981Martirosyan-Colbourn
2652628581Martirosyan-Colbourn
2656656911Martirosyan-Colbourn
2660656953Martirosyan-Colbourn
2664660880Martirosyan-Colbourn
2668686529Martirosyan-Colbourn
2672686571Martirosyan-Colbourn
2728719852Martirosyan-Colbourn
2814722246Martirosyan-Colbourn
2815787496Add 1 factors
2960803014perfect hash family4,3125,625T33
3125805072perfect 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: