Information on Result #530029

There is no linear OA(2112, 3416, F2, 24) (dual of [3416, 3304, 25]-code), because the Johnson bound shows that N ≤ 39999 416072 199660 812150 328756 136049 078290 263118 466843 464289 794416 574207 631404 665098 475651 906262 610280 043317 492804 277472 997398 654139 812051 923798 708740 963865 662488 249254 468099 985411 838427 826768 141624 753717 093380 388800 896251 019177 181049 673055 582523 056408 853398 282327 373664 375517 084990 069933 027294 851792 642857 761379 973076 621659 554167 812526 130368 638861 479996 664014 921833 049616 338771 488688 238991 971109 481887 262267 837368 365036 547504 188972 862751 036701 644270 881354 372872 298846 834935 168316 426014 361772 844829 987941 148203 240488 386403 042413 129176 065861 227999 725274 051943 593219 408085 722927 796694 771141 241604 994640 052710 334356 144118 931719 279579 219506 332724 560432 482703 480645 082415 576683 609457 791980 829423 437901 193622 131766 995138 343654 023787 128771 393882 512742 780547 226611 496321 164040 969916 625068 108391 624846 924617 141811 397503 232643 037835 717663 645521 550492 269128 531431 692771 211074 710153 408574 853327 142946 475795 844525 589843 828959 007733 134018 947931 025648 023374 163530 741482 952809 071484 244454 924057 221742 756413 228846 < 23304

Mode: Bound (linear).

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No linear OA(2113, 3417, F2, 25) (dual of [3417, 3304, 26]-code) [i]Truncation