Information on Result #548021
There is no linear OA(944, 80, F9, 39) (dual of [80, 36, 40]-code), because construction Y1 would yield
- linear OA(943, 48, F9, 39) (dual of [48, 5, 40]-code), but
- 3 times truncation [i] would yield linear OA(940, 45, F9, 36) (dual of [45, 5, 37]-code), but
- construction Y1 [i] would yield
- OA(939, 41, S9, 36), but
- the (dual) Plotkin bound shows that M ≥ 739 044147 071729 616580 416051 031916 488005 / 37 > 939 [i]
- OA(95, 45, S9, 4), but
- discarding factors would yield OA(95, 44, S9, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 60897 > 95 [i]
- discarding factors would yield OA(95, 44, S9, 4), but
- OA(939, 41, S9, 36), but
- construction Y1 [i] would yield
- 3 times truncation [i] would yield linear OA(940, 45, F9, 36) (dual of [45, 5, 37]-code), but
- OA(936, 80, S9, 32), but
- the linear programming bound shows that M ≥ 26908 982434 394880 514395 677346 559045 337369 098452 450000 184995 / 1 153187 860083 093246 111403 > 936 [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.