Information on Result #529882

There is no linear OA(284, 2678, F2, 18) (dual of [2678, 2594, 19]-code), because the Johnson bound shows that N ≤ 7 425320 332666 812425 885039 212265 716806 737459 522647 447174 652499 408791 638087 150147 156254 564349 734448 607861 173785 661597 928768 400447 320550 888188 132944 411204 248082 119243 341778 429073 411195 297608 597689 674370 775339 348466 434215 097660 565421 307234 524710 905530 837257 212430 492235 018904 240465 308655 089055 556980 998225 980266 314854 186860 746373 443504 846359 270795 507855 882094 120617 838772 577845 984068 613728 400925 703711 997832 591923 625455 267752 601616 624675 788806 183218 800082 116267 068499 872665 997016 373130 576460 742827 978505 129254 355659 239048 292051 564229 854302 227789 385302 892102 603781 450457 728659 638001 737180 026303 070389 650800 496403 418024 011913 611321 850581 363285 600840 947062 096562 071171 751868 250790 991432 680538 675419 378315 671602 433724 248924 332021 786228 981920 659369 908312 066610 616012 025764 194950 429150 635601 < 22594

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(285, 2679, F2, 19) (dual of [2679, 2594, 20]-code) [i]Truncation