Table for CAN(3,k,10) for k up to 10000

Last Updated Sun Jun 26 08:57:56 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;3,k,10) 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.

k N Source 4 1000 Derive from strength 4 5 1050 Li-Ji-Yin 6 1100 Ji-Yin 10 1215 ordered design (CCL) 11 1292 orthogonal array fuse postop NCK 12 1299 orthogonal array fuse postop NCK 13 1858 orthogonal array fuse fuse fuse postop NCK 14 1885 orthogonal array fuse fuse fuse postop NCK 16 2223 Chateauneuf-Kreher doubling 18 2232 Chateauneuf-Kreher doubling 20 2250 Chateauneuf-Kreher doubling 21 2334 Chateauneuf-Kreher doubling postop NCK 22 2335 Chateauneuf-Kreher doubling postop NCK 24 2343 Chateauneuf-Kreher doubling 25 2557 SCPHF (Sherwood-Martirosyan-Colbourn) fuse postop NCK 26 2558 SCPHF (Sherwood-Martirosyan-Colbourn) fuse postop NCK 27 2564 SCPHF (Sherwood-Martirosyan-Colbourn) fuse postop NCK 28 2579 SCPHF (Sherwood-Martirosyan-Colbourn) fuse postop NCK 30 2584 SCPHF (Sherwood-Martirosyan-Colbourn) fuse postop NCK 32 2589 SCPHF (Sherwood-Martirosyan-Colbourn) fuse postop NCK 35 2599 SCPHF (Sherwood-Martirosyan-Colbourn) fuse postop NCK 37 2607 SCPHF (Sherwood-Martirosyan-Colbourn) fuse postop NCK 41 2618 SCPHF (Sherwood-Martirosyan-Colbourn) fuse postop NCK 47 2621 SCPHF (Sherwood-Martirosyan-Colbourn) fuse postop NCK 50 2628 SCPHF (Sherwood-Martirosyan-Colbourn) fuse postop NCK 113 2649 SCPHF LFSR (TJ-IM) fuse 133 2659 Raaphorst-Moura-Stevens fuse 134 3559 Add a factor 362 3610 Cyclotomy (Torres-Jimenez) 398 4376 Cyclotomy (Colbourn) fuse 428 5179 Path-Restricted SCPHF RE (CLS) fuse 522 5210 Cyclotomy (Colbourn) 550 5289 SCPHF Conditional Expectation (CLS) fuse 557 5309 Restricted CPHF Ext 4( 0, 2) WCS fuse 564 5319 Restricted CPHF Ext 4( 0, 0) WCS fuse 572 5710 Cyclotomy (Colbourn) 665 5731 Cohen-Colbourn-Ling 678 5837 Cohen-Colbourn-Ling 798 5847 Cohen-Colbourn-Ling 1130 6062 Cohen-Colbourn-Ling 1320 6072 Cohen-Colbourn-Ling 1452 6149 Cohen-Colbourn-Ling 1463 6179 Colbourn-Martirosyan-TVT-Walker 1572 6233 Cohen-Colbourn-Ling 1596 6244 Cohen-Colbourn-Ling 1802 6609 Restricted CPHF Ext 5( 0, 5) WCS fuse 1836 6619 Restricted CPHF Ext 5( 0, 4) WCS fuse 1844 6629 Restricted CPHF Ext 5( 0, 3) WCS fuse 1854 6639 Restricted CPHF Ext 5( 0, 2) WCS fuse 1890 6649 Restricted CPHF Ext 5( 0, 0) WCS fuse 1920 7228 Cohen-Colbourn-Ling 1946 7283 Cohen-Colbourn-Ling 2028 7305 Cohen-Colbourn-Ling 2078 7391 Cohen-Colbourn-Ling 2184 7404 Cohen-Colbourn-Ling 2480 7489 Restricted CPHF Ext 6( 4, 6) WCS fuse 2499 7499 Restricted CPHF Ext 6( 4, 5) WCS fuse 3032 7599 Restricted CPHF Ext 6( 3, 6) WCS fuse 3101 7609 Restricted CPHF Ext 6( 3, 5) WCS fuse 3102 7619 Restricted CPHF Ext 6( 3, 4) WCS fuse 3682 7709 Restricted CPHF Ext 6( 2, 6) WCS fuse 3772 7719 Restricted CPHF Ext 6( 2, 5) WCS fuse 3826 7729 Restricted CPHF Ext 6( 2, 4) WCS fuse 3861 7739 Restricted CPHF Ext 6( 2, 3) WCS fuse 4372 7819 Restricted CPHF Ext 6( 1, 6) WCS fuse 4442 7829 Restricted CPHF Ext 6( 1, 5) WCS fuse 4477 7839 Restricted CPHF Ext 6( 1, 4) WCS fuse 4586 7849 Restricted CPHF Ext 6( 1, 3) WCS fuse 4605 7859 Restricted CPHF Ext 6( 1, 2) WCS fuse 5588 7929 Restricted CPHF Ext 6( 0, 6) WCS fuse 5691 7939 Restricted CPHF Ext 6( 0, 5) WCS fuse 5824 7949 Restricted CPHF Ext 6( 0, 4) WCS fuse 5941 7959 Restricted CPHF Ext 6( 0, 3) WCS fuse 6122 7969 Restricted CPHF Ext 6( 0, 2) WCS fuse 6389 7979 CPHF IPO 6 (WCS) fuse 7807 8809 Restricted CPHF Ext 7( 4, 7) WCS fuse 7903 8819 Restricted CPHF Ext 7( 4, 6) WCS fuse 7919 8829 Restricted CPHF Ext 7( 4, 5) WCS fuse 9894 8919 Restricted CPHF Ext 7( 3, 7) WCS fuse 10000 8929 Restricted CPHF Ext 7( 3, 6) WCS fuse

Graph: