Information on Result #530083

There is no linear OA(2120, 3410, F2, 26) (dual of [3410, 3290, 27]-code), because the Johnson bound shows that N ≤ 2 442851 170705 953994 517436 873160 869896 507910 782502 039571 351782 589075 536434 265826 040729 817626 122823 400288 188171 581430 974240 644157 431678 144250 021808 964997 162610 711266 324709 010524 286124 292909 236355 986551 982791 854710 053155 807968 456810 115790 488736 985617 453826 909258 817805 040545 816055 988128 728442 342182 846051 603561 129298 863534 894570 490935 480365 428316 156028 821873 244886 760557 972098 348579 877026 387757 426193 699376 281196 979845 367387 755004 332122 732375 922812 122896 690143 212616 902012 695580 422046 925013 861226 821301 351413 172096 587563 890581 598167 815545 854968 685366 627818 763856 555719 786610 916374 442290 685543 313973 091837 733744 294679 060256 845987 855911 166463 215201 563303 472374 307410 071058 244776 377535 887309 898575 234724 445955 197359 780612 395688 351538 278915 674116 957189 728813 874106 945155 371603 748306 810116 006496 165562 472532 419094 801053 403946 112247 252194 827357 321894 321258 024454 014513 791614 191424 733177 600075 993815 053092 328414 825321 587884 863549 727446 048206 039021 816159 444441 373171 362009 995473 782972 715386 854428 255457 < 23290

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(2121, 3411, F2, 27) (dual of [3411, 3290, 28]-code) [i]Truncation