Information on Result #529877

There is no linear OA(278, 1688, F2, 18) (dual of [1688, 1610, 19]-code), because the Johnson bound shows that N ≤ 45360 147346 055326 431153 691095 280821 401069 207450 546449 461171 983313 471958 432027 822127 636581 704637 784624 597170 658167 483000 187190 750223 445143 472212 342778 316796 860350 990756 511677 010238 846620 536994 784113 903479 345907 894655 533324 764194 205324 092642 512744 787191 475480 372986 369196 612584 201252 804149 845309 651385 546953 067740 076330 801693 362657 261794 979096 054758 546376 834440 466464 417732 621357 703661 559369 625711 072861 346894 648201 511774 372632 746153 594834 108165 776828 912786 958258 306369 206480 410899 302037 < 21610

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(279, 1689, F2, 19) (dual of [1689, 1610, 20]-code) [i]Truncation