Table for CAN(6,k,11) for k up to 10000

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;6,k,11) 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
121771561orthogonal array
133382071extend by one factor
144826807fuse symbols
157901417extend by one factor
248696754Martirosyan-Tran van Trung
2511916564extend by one factor
2616587274extend by one factor
2822544964Martirosyan-Tran van Trung
3027949390Martirosyan-Tran van Trung
3328344961perfect hash family
3429330147Martirosyan-Tran van Trung
3629857025Martirosyan-Tran van Trung
3830500987Martirosyan-Tran van Trung
4031086407Martirosyan-Tran van Trung
4231671827Martirosyan-Tran van Trung
4432257247Martirosyan-Tran van Trung
4632725583Martirosyan-Tran van Trung
4838766603Martirosyan-Tran van Trung
4946379813extend by one factor
5053993023extend by one factor
6554113121perfect hash family
6661726331extend by one factor
6769339541extend by one factor
6876952751extend by one factor
7277577038Martirosyan-Tran van Trung
7678320220Martirosyan-Tran van Trung
8078995840Martirosyan-Tran van Trung
8479671460Martirosyan-Tran van Trung
8880347080Martirosyan-Tran van Trung
9280887576Martirosyan-Tran van Trung
9688247596Martirosyan-Tran van Trung
9795860806extend by one factor
9898776906Martirosyan-Tran van Trung
99106390116extend by one factor
100108493256Martirosyan-Tran van Trung
104116016354Martirosyan-Tran van Trung
112116776254Martirosyan-Tran van Trung
128117708674Martirosyan-Tran van Trung
130117798874Martirosyan-Tran van Trung
131125678284extend by one factor
132133557694extend by one factor
530139148049Power 24^2
531155546959extend by one factor
532171945869extend by one factor
533188344779extend by one factor
625190665009Power 25^2
626208273919extend by one factor
627225882829extend by one factor
628243491739extend by one factor
629261100649extend by one factor
630278709559extend by one factor
631296318469extend by one factor
632313927379extend by one factor
704318266282Martirosyan-Tran van Trung
764318871282Martirosyan-Tran van Trung
768318925402Martirosyan-Tran van Trung
812318961482Martirosyan-Tran van Trung
860319051682Martirosyan-Tran van Trung
864319132862Martirosyan-Tran van Trung
908319141882Martirosyan-Tran van Trung
968319232082Martirosyan-Tran van Trung
976319474082Martirosyan-Tran van Trung
1060320562742Martirosyan-Tran van Trung
1061338171652extend by one factor
1062343749752Martirosyan-Tran van Trung
1063361358662extend by one factor
1064366936762Martirosyan-Tran van Trung
1066383518592Martirosyan-Tran van Trung
1084385838822Martirosyan-Tran van Trung
1088385892942Martirosyan-Tran van Trung
1100386004262Martirosyan-Tran van Trung
1144396410625Martirosyan-Tran van Trung
1152396985425Martirosyan-Tran van Trung
1156397337205Martirosyan-Tran van Trung
1200397346225Martirosyan-Tran van Trung
1232409228062Martirosyan-Tran van Trung
1250410055362Martirosyan-Tran van Trung
1251427664272extend by one factor
1682443405565linear hash family
1850451601445linear hash family
1852458158149linear hash family
1853482504779extend by one factor
1854506851409extend by one factor
1855531198039extend by one factor
1936539588235Martirosyan-Tran van Trung
1952540072235Martirosyan-Tran van Trung
2120542249555Martirosyan-Tran van Trung
2210542732429linear hash family
2211569352099extend by one factor
2212595971769extend by one factor
2213622591439extend by one factor
2288633121998Martirosyan-Tran van Trung
2304634271598Martirosyan-Tran van Trung
2312634975158Martirosyan-Tran van Trung
2400634993198Martirosyan-Tran van Trung
2464646875035Martirosyan-Tran van Trung
2500648529635Martirosyan-Tran van Trung
2501675659045extend by one factor
2662681879838Martirosyan-Tran van Trung
2684686831158Martirosyan-Tran van Trung
2816687499518Martirosyan-Tran van Trung
2860688104518Martirosyan-Tran van Trung
2904688446882Martirosyan-Tran van Trung
2948708151182Martirosyan-Tran van Trung
2992708324410Martirosyan-Tran van Trung
3056708852278Martirosyan-Tran van Trung
3072708906398Martirosyan-Tran van Trung
3124708942478Martirosyan-Tran van Trung
3146710035042Martirosyan-Tran van Trung
3168714433558Martirosyan-Tran van Trung
3212719078158Martirosyan-Tran van Trung
3248743697341Martirosyan-Tran van Trung
3364743787541Martirosyan-Tran van Trung
3388751983421Martirosyan-Tran van Trung
3725757583681linear hash family
3726789568491extend by one factor
3727821553301extend by one factor
5121850348801perfect hash family
6771875150641perfect hash family
10000876922201perfect hash family
 Graph: