Table for CAN(6,k,24) for k up to 10000

Last Updated Sat Sep 16 02:03:55 MST 2017

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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kNSource
7191102976composition
8208066905Augment OA
9217091292Augment OA
10226488680Augment OA
11236266448Augment OA
26244140623orthogonal array fuse
28387420483orthogonal array fuse fuse fuse
30594823311orthogonal array fuse fuse fuse fuse fuse
31732421823SCPHF Random Extension (CLS) fuse
32887503667orthogonal array fuse fuse fuse fuse fuse fuse fuse
43957031223Quint-Restricted SCPHF RE (C) fuse
48966796823Quint-Restricted SCPHF RE (C) fuse
56976562423SCPHF Random Extension (CLS) fuse
761201171823Quint-Restricted SCPHF RE (C) fuse
821210937423Quint-Restricted SCPHF RE (C) fuse
941220703023SCPHF Random Extension (CLS) fuse
961220703119CPHF Random Extension (CLS) fuse
1691464843623SCPHF Random Extension (CLS) fuse
2651708984223SCPHF Random Extension (CLS) fuse
2662571441719Add 1 factors
2672985084023Add 2 factors
2683365036663Add 3 factors
2693787908023Add 4 factors
2703807402290Add 5 factors
2713883371768Add 6 factors
2753898375777Power CT25^2T14
6253906249623perfect hash family16,625,25,c fuse
6263906249952Power CT25^2+1
6274958153848Add 1 factors
6285372114104Add 2 factors
6295753020600Add 3 factors
6515768888132Power CT27^2Arc(3)
6765912167992Power CT27^2T1T1
7026055447852Power CT27^2T1
7306198727712Power CT27^2+1
7317466574008Add 1 factors
7327988002040Add 2 factors
7578300141166Power N-CT29^2Arc(3)
7848507543994Power N-CT29^2T1T1
8128714946822Power N-CT29^2T1
8428922349650Power N-CT29^2+1
84310190195946Add 1 factors
87110573531794Power N-CT31^2Arc(3)
90010711130306Power N-CT31^2T1T1
93010848728818Power N-CT31^2T1
96110986327330Power N-CT31^2
115111015448943Martirosyan-TVT variant
120211019260189Martirosyan-TVT
120311020009541Martirosyan-TVT variant
125011020759469Martirosyan-TVT
125111058072706Martirosyan-TVT variant
125211095385614Martirosyan-TVT
125412147289510Martirosyan-TVT
125612561249766Martirosyan-TVT
145812679289053perfect hash familyD16,1458,54^11 27^5
148413082731968Power N-CT53^2T25
159013290134796Power N-CT53^2T23
184913398437108Power N-CT43^2
202113525389908Power N-CT47^2T4
221013535155508Power N-CT47^2+1
230413652342708Power N-CT53^2T5T5
254413662108308Power N-CT53^2T5
281213671873908Power N-CT53^2+3
313615166014886Power N-CT73^2T17T17
313915371093086Power N-CT73^2T30
350415380858686Power N-CT73^2T25
408815390624286Power N-CT73^2T17
409715488280286Power N-CT79^2Trin3,3,23
425615498045886Power N-CT79^2T23T3
442415507811486Power N-CT79^2T23
443015585936286Power N-CT83^2Arc(4)T27
448315595701886Power N-CT83^2Arc(3)T27
453715605467486Power N-CT83^2Arc(2)T27
459215615233086Power N-CT83^2T27T1
533215615233686Power N-CT73^2+3
696615615234334Power N-CT97^2Arc(13)T15
797415624999934Power N-CT97^2Arc(13)T3
805815625000030Power N-CT97^2Arc(13)T2
822615869140534Power N-CT97^2Arc(13)
831116113281038Power N-CT97^2Arc(12)
839716357421542Power N-CT97^2Arc(11)
848416601562046Power N-CT97^2Arc(10)
857216845702550Power N-CT97^2Arc(9)
866117089843054Power N-CT97^2Arc(8)
875117333983558Power N-CT97^2Arc(7)
884217578124062Power N-CT97^2Arc(6)
893417822264566Power N-CT97^2Arc(5)
902718066405070Power N-CT97^2Arc(4)
935118088839922Power CT31^3T5S30
966218226438434Power CT31^3T5S29
1000018232119782Power CT31^3T3S30
 Graph: