Information on Result #529742
There is no linear OA(243, 3812, F2, 8) (dual of [3812, 3769, 9]-code), because the Johnson bound shows that N ≤ 3 817940 101230 897178 056148 355416 527732 366033 076155 168064 521928 969122 706418 691192 254174 697538 892298 591085 531073 526538 964079 537393 412395 201303 845841 326817 282525 372537 142694 364921 707094 941624 455397 231215 787308 736482 006192 686506 820227 746056 746552 890091 612431 074052 838026 338020 668389 722315 874584 697507 436364 842911 396108 899041 846436 464671 646638 534008 869410 664832 274560 079303 632368 487593 553276 229918 086033 543056 900569 099100 143549 102786 799079 688172 163005 167378 218956 761160 373598 784338 214431 746453 757238 139668 359175 263186 908805 120825 619802 852243 030223 573221 707631 985908 801637 397355 048147 335722 528359 983638 557564 752856 108766 703826 043004 605113 092993 025082 108237 023196 554027 648981 879377 599248 998127 554482 899174 632155 476702 164990 778891 306662 917926 364704 836080 324808 324977 034601 389719 894613 122038 755322 477166 387390 245893 966104 250174 628312 157439 772606 203217 852172 112796 920545 239583 151368 506058 740712 112104 499842 614615 191368 165610 063320 012097 868752 530994 235087 105024 631009 128600 001657 950657 767168 492462 056141 255772 628609 127526 517215 678570 994425 928967 453485 004800 542077 728441 398243 573627 010877 772295 076310 850438 227582 498783 954100 346630 455534 179375 497761 < 23769
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(244, 3813, F2, 9) (dual of [3813, 3769, 10]-code) | [i] | Truncation | |