Information on Result #529744

There is no linear OA(245, 5391, F2, 8) (dual of [5391, 5346, 9]-code), because the Johnson bound shows that N ≤ 20 241398 903650 726254 148868 693809 987740 650246 831200 782381 513916 495700 146186 990892 238257 061661 892355 636906 167149 483909 680314 658075 279349 757139 636985 523978 081750 839531 154000 270104 944932 371183 925518 372548 999376 431567 447220 584864 111235 347644 187358 923135 334433 357281 007495 141404 760117 908354 162663 806726 417086 227275 084357 978424 510259 388176 749082 759940 636237 706200 213848 848586 004334 165173 098880 326643 132256 101997 487992 580107 841287 522812 727353 728491 235214 344841 336230 287150 619524 510961 352335 560345 076044 427002 771564 168213 467216 098532 081503 961857 744780 300915 198525 191511 918948 730843 507404 346851 682599 007734 206498 280697 218585 471339 238820 738970 648053 343568 362888 702145 308913 192374 463742 699313 130236 224408 824746 782334 503746 536064 987263 525341 455310 534605 214983 594603 033985 265081 475092 854020 751897 493755 318388 811189 821259 672058 105128 767568 059871 230393 184940 105924 560730 009401 868182 041528 961734 153879 047264 117593 867501 982783 226441 703323 206862 818319 955370 858911 833045 284413 349985 224376 701855 815467 695620 029830 897416 965073 414329 507078 989256 146226 166680 940560 723598 765166 880098 138134 312201 233042 661891 168979 074835 310568 630939 973419 741552 470560 386936 926945 365666 085465 352087 387582 762069 595833 784002 002637 416121 973764 871086 224288 037042 713080 578292 061805 832263 015359 014768 563340 182096 428450 516300 242908 888316 131506 820255 663438 135805 739366 212057 968581 474098 248986 540796 681711 654408 994642 503230 752635 601516 086343 187020 917171 283468 992192 071738 144947 733366 257583 286987 566905 146149 531945 062393 972824 422548 193504 505232 219840 245337 256894 258040 160321 632981 126630 758419 054628 402803 431880 632732 502395 791827 682615 120940 251200 711846 802616 762141 < 25346

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(246, 5392, F2, 9) (dual of [5392, 5346, 10]-code) [i]Truncation