Information on Result #530148
There is no linear OA(2130, 3778, F2, 28) (dual of [3778, 3648, 29]-code), because the Johnson bound shows that N ≤ 1 436526 167681 407416 782770 948389 015392 503446 205361 985499 603858 853321 805698 708182 904796 234541 133149 977777 866587 524813 796605 082023 849996 615663 592828 164929 689916 177247 101006 738560 190161 252937 143747 092455 605521 199492 258558 342398 628858 311062 656911 349967 026024 613896 536921 280014 801641 410450 037367 780320 723478 058833 854982 354215 404992 391666 981069 013483 845310 317363 892060 472635 261412 939435 651004 732089 957479 918609 921462 397151 031966 848276 892047 038778 960652 196435 934712 583439 853299 535785 849239 050990 771169 625647 740996 837385 467398 540888 859103 815406 006135 737319 153177 166106 520124 114729 184542 794654 593467 481762 507068 710274 049151 519180 751938 984243 066057 428946 814774 843075 049079 487484 057547 939529 814634 876664 284316 292484 202976 309328 314663 137775 856431 552032 511152 073669 980111 412185 826806 728918 028617 261383 210434 719876 034635 863837 056931 522634 109875 330055 234028 074826 721097 818931 812555 584449 699942 894679 839687 413111 417196 467781 123995 597258 424687 835460 348240 675245 232646 372588 284467 330108 928375 254506 841469 757988 875602 710771 495648 166720 784736 881594 801862 889296 734611 067270 940293 374174 305023 840689 410022 027001 827547 665829 < 23648
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(2131, 3779, F2, 29) (dual of [3779, 3648, 30]-code) | [i] | Truncation | |