Information on Result #529878

There is no linear OA(279, 1823, F2, 18) (dual of [1823, 1744, 19]-code), because the Johnson bound shows that N ≤ 990 486058 764930 518754 712004 235661 645127 003079 781959 847255 928407 088255 026239 992489 948489 478610 970309 841921 265668 586434 859064 070817 688396 214567 342311 005367 023839 793416 003165 579534 552571 084572 831879 274909 351775 067147 091945 468845 876248 252007 915023 531484 345865 705047 952652 012719 333332 077803 147060 531934 368270 756750 980807 843694 243779 024299 708668 739844 026551 630165 137675 321419 175478 910694 264138 140475 501827 336934 282472 122687 994535 940277 804066 803096 405429 800029 575654 288239 145506 258931 129705 313088 390756 435037 387119 317039 573253 772053 < 21744

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(280, 1824, F2, 19) (dual of [1824, 1744, 20]-code) [i]Truncation