Information on Result #529845

There is no linear OA(282, 4586, F2, 16) (dual of [4586, 4504, 17]-code), because the Johnson bound shows that N ≤ 690135 230062 511830 518048 788672 260556 324078 115458 715278 255889 708941 938391 447310 459961 649486 605937 201151 726342 322542 873600 436166 964733 344420 402953 537109 842216 442733 894967 648976 088480 027944 070926 898884 239490 838848 229288 374901 872967 500506 525295 534311 403145 617221 404248 365653 382701 983608 626438 366039 217597 916392 832102 981987 599795 810782 107945 938565 356897 565954 843242 822195 541618 096067 351139 024481 424769 902918 561390 224380 936191 658138 013499 858817 803068 531756 924306 739943 914974 447045 425050 880605 538461 134297 688375 323018 543797 973610 356731 009282 378489 729916 281885 779926 079153 581370 798757 801235 465045 133341 495788 017693 458358 535565 747620 495949 536419 302838 815724 563479 631999 313794 092955 484668 406196 875752 376213 192635 539270 771963 796806 192311 689454 411470 443111 455348 833810 833227 363693 220994 485983 496018 476696 322215 834142 294632 193183 808949 789676 863956 718079 314872 396255 369163 584679 432505 678388 433921 867753 961840 289176 930408 358084 483864 955422 297095 940765 096752 801498 205039 866821 185265 346553 649286 631604 668750 943860 809212 979377 797868 151357 572167 750136 111127 966674 217602 195246 341218 515981 761680 184107 102125 666715 586716 747460 192021 511985 902693 932036 526247 416831 262812 332173 044672 630864 578131 537058 753727 445845 141797 645414 465702 465969 199496 460357 961731 596153 625694 870611 238198 155334 918282 345107 534797 283820 481190 003313 277023 930539 545302 628598 200665 276362 444499 786320 016365 535147 < 24504

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(283, 4587, F2, 17) (dual of [4587, 4504, 18]-code) [i]Truncation