Information on Result #529880
There is no linear OA(281, 2126, F2, 18) (dual of [2126, 2045, 19]-code), because the Johnson bound shows that N ≤ 4032 304065 455683 887776 062102 119180 633697 761771 238233 185741 012326 578777 367322 238649 023389 256215 235563 653116 499693 130909 081218 744027 940864 975513 640017 116374 350297 329468 369133 060343 890516 996331 638735 430226 883284 860477 231304 527442 219737 954595 101634 672778 629368 946169 705838 978941 771282 998494 287806 906658 221813 625933 745064 878455 697696 826390 201305 166208 394568 075564 156545 533151 607034 875911 240779 536528 441537 079274 298753 683205 442222 918347 493909 840563 877292 657410 738893 103237 889453 389988 648856 631201 911658 555099 387322 774020 056864 536374 287492 349060 372149 427941 860714 849011 286543 576153 656009 900118 478927 327151 946134 029207 057694 < 22045
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(282, 2127, F2, 19) (dual of [2127, 2045, 20]-code) | [i] | Truncation | |