Information on Result #530035
There is no linear OA(2121, 5742, F2, 24) (dual of [5742, 5621, 25]-code), because the Johnson bound shows that N ≤ 1 227844 150069 185395 284535 123929 328836 818796 052088 174789 294752 677216 334845 178347 009818 404953 854440 549921 653080 325457 212662 550331 676659 437282 876670 803774 371222 942315 279153 165224 435758 672353 498807 487353 087972 024580 646597 420470 732885 176572 372544 803916 333708 312079 740804 867015 913858 200497 757863 576945 836128 266237 344150 796643 714146 723992 746498 611175 255999 483779 629402 810128 851235 220890 483686 249118 106968 257075 466279 342641 246951 171505 272015 593163 914573 915470 108156 590194 410735 466200 369888 609698 276837 626620 155691 870888 820030 154958 588474 347108 365264 193927 227317 253593 679442 726152 616293 274401 755080 935363 092873 174167 631052 171937 258259 680823 910212 323304 561078 794337 482842 077155 377779 686741 127107 357453 103085 621634 120555 811179 638082 906452 495619 746248 635085 055767 416457 734064 961141 760637 920382 162950 966615 260555 642307 279685 859456 768842 193215 461410 424129 616121 119673 746654 512796 624404 518681 784596 967659 739179 579263 985551 043841 825842 822015 743265 652178 223295 442095 320066 457033 043410 355445 695733 515926 557275 087049 307614 854074 468575 442906 328022 570266 257062 148464 138271 942049 232269 910267 108200 764521 861671 922187 176344 966266 175055 159821 711994 556592 680059 818252 959230 953782 993392 512275 660271 885477 069385 170543 715068 078904 990994 613969 494824 265975 758355 400771 331828 706380 812703 083466 922104 886078 986501 212229 144007 727809 701071 319458 562394 928606 936514 905192 594344 199986 545089 529347 145781 736754 869864 788964 939747 230066 283939 471320 414826 981882 895029 992794 902235 162160 168056 940273 323835 127230 021780 243428 573609 964640 123920 584922 596068 704331 249017 947798 319132 320641 188983 645240 808564 423923 624147 821525 489239 003587 550535 928489 582408 256682 003558 614165 750227 717822 128228 043464 720733 638763 796240 640071 577458 089901 966166 739186 < 25621
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(2122, 5743, F2, 25) (dual of [5743, 5621, 26]-code) | [i] | Truncation | |