Table for CAN(6,k,18) 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,18) 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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2047045880fuse symbols
2186923800extend by one factor
22126801720extend by one factor
24148035884fuse symbols
25188183517perfect hash family
40229467115Martirosyan-Tran van Trung
41338538673extend by one factor
42447610231extend by one factor
43517504670perfect hash family
45611596428perfect hash family
50658642307perfect hash family
95705688186perfect hash family
362752734065Power 20^2
363945828021extend by one factor
3641146875529extend by one factor
3651347923037extend by one factor
3661364330492perfect hash family
5151505468129perfect hash family
5161835360915extend by one factor
5202117064556perfect hash family
5302368574129Power 24^2
7222448724477Martirosyan-Tran van Trung
7242485009309Martirosyan-Tran van Trung
7262781378571Martirosyan-Tran van Trung
7283085701385Martirosyan-Tran van Trung
7303292846827Martirosyan-Tran van Trung
7323309254282Martirosyan-Tran van Trung
13723442006711linear hash family
13733895689655extend by one factor
13744349372599extend by one factor
16814739541409linear hash family
16825193224353extend by one factor
16835646907297extend by one factor
18056021872513perfect hash family
18066475555457extend by one factor
18106586423061perfect hash family
18306633468940perfect hash family
24156774606577perfect hash family
100007113480535Power 31^3