Information on Result #529973

There is no linear OA(2103, 3238, F2, 22) (dual of [3238, 3135, 23]-code), because the Johnson bound shows that N ≤ 53 415071 744898 441239 469316 302561 099965 383410 237924 280409 925078 895086 776602 834936 544181 948650 644331 014089 533849 137290 950760 214014 959871 728588 063031 306674 929279 622973 900418 842452 748919 887296 577151 070330 403491 324301 971672 946795 444239 877913 894813 198920 178805 289651 023525 740584 254572 521580 952128 205982 466646 410050 382554 591621 298363 789651 595503 755121 923612 563938 166010 423650 565644 138305 044403 584040 947740 681190 815646 809865 573757 575234 779253 895761 186293 804061 042765 406218 299366 190640 411074 916488 760808 743001 300821 022590 769334 218985 719774 452098 465505 142325 769711 178717 435311 432881 114875 093517 848392 657467 445931 743198 601321 925562 285288 307271 101047 714356 774700 556302 501290 543366 774982 476974 437545 397629 470378 262243 303859 206479 383841 418442 711689 102633 049811 181534 738896 799215 775710 941477 637304 607900 366175 919329 764507 401985 538212 464025 608016 097301 385903 138481 510811 839112 415325 396538 867889 216078 449770 524655 323333 760336 405649 267561 873339 005855 212300 101297 < 23135

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(2104, 3239, F2, 23) (dual of [3239, 3135, 24]-code) [i]Truncation