Table for CAN(4,k,5) for k up to 10000

Last Updated Fri Sep 15 03:04:43 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,5) 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
6625orthogonal array
7910cross-sum (CKRS)
111125Tri-Restricted SCPHF RE (C)
141225Path-Restricted SCPHF RE (C)
151245SCPHF Tabu Search (Walker-Colbourn)
161249LFSR(Tzanakis-Moura-Panario-Stevens)
211745Tri-Restricted SCPHF RE (C)
241845Path-Restricted SCPHF RE (C)
261873CPHF Random Extension (CLS)
302245Tri-Restricted SCPHF RE (C)
332365Tri-Restricted SCPHF RE (C)
402465Path-Restricted SCPHF RE (C)
412497CPHF Random Extension (CLS)
482865Tri-Restricted SCPHF RE (C)
512985Tri-Restricted SCPHF RE (C)
553085Path-Restricted SCPHF RE (C)
623105SCPHF Tabu Search (Walker-Colbourn)
643365Tri-Restricted SCPHF RE (C)
733485Tri-Restricted SCPHF RE (C)
783605Tri-Restricted SCPHF RE (C)
883705Path-Restricted SCPHF RE (C)
973725SCPHF Conditional Expectation (CLS)
1014105Tri-Restricted SCPHF RE (C)
1214225Tri-Restricted SCPHF RE (C)
1314325Path-Restricted SCPHF RE (C)
1434345SCPHF Conditional Expectation (CLS)
1544725Tri-Restricted SCPHF RE (C)
1714845Tri-Restricted SCPHF RE (C)
1824945Path-Restricted SCPHF RE (C)
2034965SCPHF Random Extension (CLS)
2064993CPHF Random Extension (CLS)
2145225Tri-Restricted SCPHF RE (C)
2305345Tri-Restricted SCPHF RE (C)
2625465Tri-Restricted SCPHF RE (C)
2975585SCPHF Random Extension (CLS)
3045617CPHF Random Extension (CLS)
3095845Tri-Restricted SCPHF RE (C)
3505965Tri-Restricted SCPHF RE (C)
3886085Tri-Restricted SCPHF RE (C)
4396205SCPHF Random Extension (CLS)
4656241CPHF Random Extension (CLS)
4766465Tri-Restricted SCPHF RE (C)
4926585Tri-Restricted SCPHF RE (C)
5466705Tri-Restricted SCPHF RE (C)
6396825SCPHF Random Extension (CLS)
7006865CPHF Random Extension (CLS)
7387205Tri-Restricted SCPHF RE (C)
7987325Tri-Restricted SCPHF RE (C)
9717445SCPHF Random Extension (CLS)
11017489CPHF Random Extension (CLS)
15127555Cyclotomy (Colbourn)
16048113CPHF Random Extension (CLS)
20558685SCPHF Random Extension (CLS)
20928737CPHF Random Extension (CLS)
26979305SCPHF Random Extension (CLS)
27599361CPHF Random Extension (CLS)
276011321Add a factor
286111445Cyclotomy mult (Colbourn)
409112273Cyclotomy shift (Colbourn)
442113263Cyclotomy shift (Colbourn)
669113382Cyclotomy shift (Colbourn)
1000013451Cyclotomy (Colbourn)
 Graph: