Information on Result #530146
There is no linear OA(2128, 3423, F2, 28) (dual of [3423, 3295, 29]-code), because the Johnson bound shows that N ≤ 78 280342 755390 627673 756195 779923 370194 218039 036251 276272 037840 308005 286624 665465 165640 531674 395595 708804 291741 843594 520123 221012 518762 526808 240282 325572 932343 253685 001077 423807 056202 450894 863933 279707 331364 212862 216867 505971 189769 405665 980937 310374 668656 412289 114518 784548 288538 805237 443898 130392 032965 962826 653839 290683 361292 087049 024805 166462 124945 794332 523692 992557 298549 086742 854722 038128 344380 014374 172645 763723 930985 740087 566284 073070 609705 954929 522521 810131 161701 065268 757783 827472 844756 772627 279928 527204 561433 542933 610470 957011 256656 366910 636838 845034 307015 273380 622699 701334 954759 756865 412247 183069 265089 556707 416696 978048 115933 988653 141881 859243 551235 211453 185923 971320 238988 926178 809564 036633 058058 838205 826355 579345 973683 015891 244314 266676 480036 376274 166868 688266 975156 039535 355829 024342 436587 408430 806444 856148 304214 581121 156579 553045 298404 105661 932711 261824 749906 624324 963861 387567 219880 178429 948706 297089 626329 966955 764028 842716 649434 824460 999240 291995 721048 468667 662424 002574 < 23295
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(2129, 3424, F2, 29) (dual of [3424, 3295, 30]-code) | [i] | Truncation | |