Table for CAN(6,k,24) 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,24) 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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26244140624fuse symbols
28387420486fuse symbols
30594823316fuse symbols
32887503674fuse symbols
35976562493perfect hash family
521198764361Martirosyan-Tran van Trung
541767864231Martirosyan-Tran van Trung
561875214707Martirosyan-Tran van Trung
572602163931extend by one factor
582685546854perfect hash family
602686465469Martirosyan-Tran van Trung
672929687477perfect hash family
703173828100perfect hash family
753417968723perfect hash family
1253662109346perfect hash family
6263906249969Power 26^2
6274958498865extend by one factor
6286027307761extend by one factor
7306198727761Power 28^2
7317591448049extend by one factor
8428922349726linear hash family
84310686665374extend by one factor
86411962890528perfect hash family
87512695312397perfect hash family
106412885046531Martirosyan-Tran van Trung
125013109655860Martirosyan-Tran van Trung
125213182855860Martirosyan-Tran van Trung
125414814334364Martirosyan-Tran van Trung
125616215550875Martirosyan-Tran van Trung
130016386970875Martirosyan-Tran van Trung
221416782701041linear hash family
240419180229761Power 52^2
240521665263105extend by one factor
240624150296449extend by one factor
281024750099221linear hash family
281226253005885linear hash family
1000027512613864Power 31^3