Information on Result #529728
There is no linear OA(233, 3721, F2, 6) (dual of [3721, 3688, 7]-code), because the Johnson bound shows that N ≤ 1 579619 851515 201336 501160 622127 106346 122020 723423 175590 310247 130344 890029 752414 185649 219024 436753 883855 419025 648251 577624 851251 899668 541587 956309 582362 520831 032740 410092 493386 232943 294190 994436 928611 000867 043170 488333 930429 916815 672089 006665 334261 698540 523138 120060 771176 468872 381619 305142 399515 203249 151836 065544 165977 210684 691200 470884 873906 629948 627131 644236 290088 531332 258480 475428 418219 839346 190105 299802 016424 185604 841255 541692 591010 361377 440620 728827 492781 758606 204291 404108 851399 672473 851411 053890 481050 220223 703482 392703 294581 743330 482665 132027 625298 438122 140963 076311 220156 131711 832979 412717 356013 873109 399922 732184 270350 693010 558041 786205 200437 732505 372769 277941 354055 850748 213903 791041 380620 015825 382558 399233 923319 527665 778661 184730 140268 005989 140653 264748 536680 780899 599056 051008 343262 325837 478599 141720 302482 063322 040906 994086 918724 042534 369593 671757 671187 763397 122916 516593 764509 608294 949856 944811 499101 856231 332503 278748 252117 256048 027723 375016 444630 218807 614735 478637 590560 293612 122011 158119 968767 516543 538952 199886 185923 253389 555087 197541 746794 749622 904541 568924 571176 968611 900578 909935 415944 < 23688
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(234, 3722, F2, 7) (dual of [3722, 3688, 8]-code) | [i] | Truncation | |