Table for CAN(4,k,3) for k up to 10000

Last Updated Sun Nov 19 06:55:36 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;4,k,3) 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).

Change t: - + Change v: - + or go to Global Menu.
kNSource
581Derive from strength 5
6111cross-sum (CKRS)
7123cross-sum (CKRS)
9135Derive from strength 5
10159SCPHF (Sherwood-Martirosyan-Colbourn)
11161Derive from strength 5
12189Torres-Jimenez
13212Torres-Jimenez
152312-Restricted SCPHF RE (CL)
16237SCPHF (Sherwood-Martirosyan-Colbourn)
172673-Restricted SCPHF RE (CL)
202913-Restricted SCPHF RE (CL)
21305PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
22307PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
23315SCPHF Tabu Search (Walker-Colbourn)
27345PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
28360PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
30363PGL (Maity-Akhtar-Chandrasekharan-Colbourn)
33387PGL+ (Maity-Akhtar-Chandrasekharan-Colbourn)
34410PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
35411PGL+ (Maity-Akhtar-Chandrasekharan-Colbourn)
36423PGL+ (Maity-Akhtar-Chandrasekharan-Colbourn)
37433PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
39440PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
40453Density Mult Cyclic (Colbourn)
41455PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
42460PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
43471Density Mult Cyclic (Colbourn)
44472PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
45474PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
46475PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
47481PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
48487PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
49495Density Mult Cyclic (Colbourn)
51499PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
53507Density Mult Cyclic (Colbourn)
55512PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
57518PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
58522PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
63531PGL (Maity-Akhtar-Chandrasekharan-Colbourn)
67548PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
70561PGL (Maity-Akhtar-Chandrasekharan-Colbourn)
72567PGL (Maity-Akhtar-Chandrasekharan-Colbourn)
74579PGL (Maity-Akhtar-Chandrasekharan-Colbourn)
76585Density Mult Cyclic (Colbourn)
78591Density Mult Cyclic (Colbourn)
81597Density Mult Cyclic (Colbourn)
82603Density Mult Cyclic (Colbourn)
85609Density Mult Cyclic (Colbourn)
88615Density Mult Cyclic (Colbourn)
92627Density Mult Cyclic (Colbourn)
94633Density Mult Cyclic (Colbourn)
97639Density Mult Cyclic (Colbourn)
100645Density Mult Cyclic (Colbourn)
105657Density Mult Cyclic (Colbourn)
119663simulated annealing (AG-TJ-H)
150666simulated annealing (AG-TJ-H)
224669Cyclotomy (Colbourn)
230687Cyclotomy (Colbourn)
272813Cyclotomy (Colbourn)
278831Cyclotomy (Colbourn)
433868Cyclotomy shift (AG+TJ+H)
487974Cyclotomy shift (AG+TJ+H)
499999Cyclotomy mult (Colbourn)
5231026Cyclotomy shift (AG+TJ+H)
10511051Cyclotomy (Colbourn)
10691069Cyclotomy (Colbourn)
10871087Cyclotomy (Colbourn)
10931093Cyclotomy (Colbourn)
11171119Cyclotomy (Colbourn)
11231123Cyclotomy (Colbourn)
11291129Cyclotomy (Colbourn)
11711171Cyclotomy (Colbourn)
12131213Cyclotomy (Colbourn)
12311231Cyclotomy (Colbourn)
12491249Cyclotomy (Colbourn)
12791279Cyclotomy (Colbourn)
12911291Cyclotomy (Colbourn)
12971297Cyclotomy (Colbourn)
13031303Cyclotomy (Colbourn)
13211323Cyclotomy (Colbourn)
13271327Cyclotomy (Colbourn)
13811381Cyclotomy (Colbourn)
13991399Cyclotomy (Colbourn)
14231423Cyclotomy (Colbourn)
14291431Cyclotomy (Colbourn)
14471447Cyclotomy (Colbourn)
14531453Cyclotomy (Colbourn)
14591459Cyclotomy (Colbourn)
14711471Cyclotomy (Colbourn)
14831483Cyclotomy (Colbourn)
14891489Cyclotomy (Colbourn)
15311531Cyclotomy (Colbourn)
15431543Cyclotomy (Colbourn)
15491549Cyclotomy (Colbourn)
15671567Cyclotomy (Colbourn)
15791579Cyclotomy (Colbourn)
15971597Cyclotomy (Colbourn)
16091609Cyclotomy (Colbourn)
16211621Cyclotomy (Colbourn)
16271627Cyclotomy (Colbourn)
16571657Cyclotomy (Colbourn)
16631663Cyclotomy (Colbourn)
16691669Cyclotomy (Colbourn)
16931693Cyclotomy (Colbourn)
16991699Cyclotomy (Colbourn)
18001723Colbourn-Martirosyan-TVT-Walker
19621731Colbourn-Martirosyan-TVT-Walker
19801738Colbourn-Martirosyan-TVT-Walker
20281740Colbourn-Martirosyan-TVT-Walker
21021752Colbourn-Martirosyan-TVT-Walker
21381770Colbourn-Martirosyan-TVT-Walker
26581772Derive from strength 5
26701781Derive from strength 5
26821789Derive from strength 5
27001957Colbourn-Martirosyan-TVT-Walker
29431965Colbourn-Martirosyan-TVT-Walker
29701972Colbourn-Martirosyan-TVT-Walker
30421974Colbourn-Martirosyan-TVT-Walker
31531986Colbourn-Martirosyan-TVT-Walker
32072004Colbourn-Martirosyan-TVT-Walker
32402022Colbourn-Martirosyan-TVT-Walker
32612029Colbourn-Martirosyan-TVT-Walker
32792035Colbourn-Martirosyan-TVT-Walker
33512061Colbourn-Martirosyan-TVT-Walker
33692065Colbourn-Martirosyan-TVT-Walker
33872071Colbourn-Martirosyan-TVT-Walker
34682113Colbourn-Martirosyan-TVT-Walker
35132131Colbourn-Martirosyan-TVT-Walker
35372173Colbourn-Martirosyan-TVT-Walker
35492176Colbourn-Martirosyan-TVT-Walker
36392180Colbourn-Martirosyan-TVT-Walker
36932198Colbourn-Martirosyan-TVT-Walker
37472216Colbourn-Martirosyan-TVT-Walker
38222246Colbourn-Martirosyan-TVT-Walker
38342247Colbourn-Martirosyan-TVT-Walker
38372249Colbourn-Martirosyan-TVT-Walker
38732261Colbourn-Martirosyan-TVT-Walker
38912267Colbourn-Martirosyan-TVT-Walker
39092273Colbourn-Martirosyan-TVT-Walker
39632293Colbourn-Martirosyan-TVT-Walker
39722297Colbourn-Martirosyan-TVT-Walker
39812298Colbourn-Martirosyan-TVT-Walker
69822327Derive from strength 5
70122337Derive from strength 5
70132571Add a factor
70142625Add a factor
70982850Colbourn-Martirosyan-TVT-Walker
75062851Colbourn-Martirosyan-TVT-Walker
77762852Colbourn-Martirosyan-TVT-Walker
79742853Colbourn-Martirosyan-TVT-Walker
80102862Colbourn-Martirosyan-TVT-Walker
80192870Colbourn-Martirosyan-TVT-Walker
80462873Colbourn-Martirosyan-TVT-Walker
81003041Colbourn-Martirosyan-TVT-Walker
81903049Colbourn-Martirosyan-TVT-Walker
82323050Colbourn-Martirosyan-TVT-Walker
82893062Colbourn-Martirosyan-TVT-Walker
88293063Colbourn-Martirosyan-TVT-Walker
89103070Colbourn-Martirosyan-TVT-Walker
91263072Colbourn-Martirosyan-TVT-Walker
94083084Colbourn-Martirosyan-TVT-Walker
94593096Colbourn-Martirosyan-TVT-Walker
96213114Colbourn-Martirosyan-TVT-Walker
97203132Colbourn-Martirosyan-TVT-Walker
97833139Colbourn-Martirosyan-TVT-Walker
98373145Colbourn-Martirosyan-TVT-Walker
100003171Colbourn-Martirosyan-TVT-Walker
 Graph: