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

Last Updated Tue Mar 8 09:01:41 MST 2022

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).

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kNSource
581Derive from strength 5
6111cross-sum (CKRS)
7123cross-sum (CKRS)
9135Derive from strength 5
11159CPHF 3-stage (TJ-IM)
12189Torres-Jimenez
13212Torres-Jimenez
152312-Restricted SCPHF RE (CL)
17237SCPHF Sim Annealing (TJ-IM)
20271CPHF 3-stage (TJ-IM)
21278CPHF 3-stage (TJ-IM)
22288CPHF 3-stage (TJ-IM)
23296CPHF 3-stage (TJ-IM)
27337CPHF 3-stage (TJ-IM)
28353CPHF 3-stage (TJ-IM)
30361CPHF 3-stage (TJ-IM)
33378CPHF 3-stage (TJ-IM)
34380CPHF 3-stage (TJ-IM)
35389CPHF 3-stage (TJ-IM)
36396CPHF 3-stage (TJ-IM)
37403CPHF 3-stage (TJ-IM)
40420CPHF 3-stage (TJ-IM)
41436CPHF 3-stage (TJ-IM)
42441CPHF 3-stage (TJ-IM)
43450CPHF 3-stage (TJ-IM)
44453CPHF 3-stage (TJ-IM)
45454CPHF 3-stage (TJ-IM)
46463CPHF 3-stage (TJ-IM)
47465CPHF 3-stage (TJ-IM)
48471CPHF 3-stage (TJ-IM)
49484CPHF 3-stage (TJ-IM)
51488CPHF 3-stage (TJ-IM)
53506CPHF 3-stage (TJ-IM)
54509CPHF 3-stage (TJ-IM)
55512PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
57516CPHF 3-stage (TJ-IM)
58522PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
60526CPHF 3-stage (TJ-IM)
63531PGL (Maity-Akhtar-Chandrasekharan-Colbourn)
66546CPHF 3-stage (TJ-IM)
67548PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK
70559CPHF 3-stage (TJ-IM)
71566CPHF 3-stage (TJ-IM)
72567PGL (Maity-Akhtar-Chandrasekharan-Colbourn)
74573CPHF 3-stage (TJ-IM)
76577CPHF 3-stage (TJ-IM)
78579CPHF 3-stage (TJ-IM)
81596CPHF 3-stage (TJ-IM)
82602CPHF 3-stage (TJ-IM)
85605CPHF 3-stage (TJ-IM)
88614CPHF 3-stage (TJ-IM)
92624CPHF 3-stage (TJ-IM)
94630CPHF 3-stage (TJ-IM)
97637CPHF 3-stage (TJ-IM)
99639CPHF 3-stage (TJ-IM)
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)
14941521CPHF IPO 19 (WCS)
15311531Cyclotomy (Colbourn)
15431543Cyclotomy (Colbourn)
15491549Cyclotomy (Colbourn)
15671567Cyclotomy (Colbourn)
15791579Cyclotomy (Colbourn)
15971597Cyclotomy (Colbourn)
20261601CPHF IPO 20 (WCS)
26941681CPHF IPO 21 (WCS)
35821761CPHF IPO 22 (WCS)
43821841CPHF IPO 23 (WCS)
47121921CPHF IPO 24 (WCS)
47132149Add a factor
47142203Add a factor
69822327Derive from strength 5
70122337Derive from strength 5
70132571Add a factor
71642601Colbourn-Martirosyan-TVT-Walker
71682681Colbourn-Martirosyan-TVT-Walker
81922693Colbourn-Martirosyan-TVT-Walker
81942729Colbourn-Martirosyan-TVT-Walker
87042735Colbourn-Martirosyan-TVT-Walker
87642741Colbourn-Martirosyan-TVT-Walker
92162821Colbourn-Martirosyan-TVT-Walker
94242825Colbourn-Martirosyan-TVT-Walker
100002871Colbourn-Martirosyan-TVT-Walker
 Graph: