Table for CAN(5,k,22) for k up to 10000

Last Updated Fri Sep 20 11:41:02 MST 2013

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,22) 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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65153632Derive from strength 6
76194819Add a symbol
246436341orthogonal array fuse
269765619orthogonal array fuse fuse fuse
2814348897orthogonal array fuse fuse fuse fuse fuse
3119308981perfect hash family3,31,23,c fuse
3219309020perfect hash family3,32,24
4225086210Martirosyan-Tran van Trung
4825110540Martirosyan-Tran van Trung
5034371466Martirosyan-Tran van Trung
5236887812Martirosyan-Tran van Trung
6445054261perfect hash family7,64,23,c fuse
6545054380perfect hash family7,65,24
7951490581perfect hash family8,79,23,c fuse
8051490720perfect hash family8,80,24
10157926901perfect hash family9,101,23,c fuse
10257927060perfect hash family9,102,24
13863080691Power N-CT23^2T17
16164121878Power N-CT23^2T16
53064363400Power N-CT23^2+1
53285869962Add 2 factors
53393315246Add 3 factors
55397433964Power CT25^2Arc(3)
576100763242Power CT25^2T1T1
600104092520Power CT25^2T1
625107421619perfect hash family11,625,25,c fuse fuse fuse
626107421798Power CT25^2+1
2116128726800Power CT23^3Tlev
3174133880431Power CT23^3T17
3703134921618Power CT23^3T16
10000135162741perfect hash family21,12167,23,c fuse