Information on Result #548018
There is no linear OA(938, 66, F9, 34) (dual of [66, 28, 35]-code), because construction Y1 would yield
- OA(937, 41, S9, 34), but
- the linear programming bound shows that M ≥ 494 520898 410959 817514 303085 999134 242591 / 2275 > 937 [i]
- linear OA(928, 66, F9, 25) (dual of [66, 38, 26]-code), but
- discarding factors / shortening the dual code would yield linear OA(928, 58, F9, 25) (dual of [58, 30, 26]-code), but
- construction Y1 [i] would yield
- OA(927, 31, S9, 25), but
- the linear programming bound shows that M ≥ 25644 034018 340666 323462 064529 / 377 > 927 [i]
- linear OA(930, 58, F9, 27) (dual of [58, 28, 28]-code), but
- discarding factors / shortening the dual code would yield linear OA(930, 39, F9, 27) (dual of [39, 9, 28]-code), but
- residual code [i] would yield OA(93, 11, S9, 3), but
- discarding factors / shortening the dual code would yield linear OA(930, 39, F9, 27) (dual of [39, 9, 28]-code), but
- OA(927, 31, S9, 25), but
- construction Y1 [i] would yield
- discarding factors / shortening the dual code would yield linear OA(928, 58, F9, 25) (dual of [58, 30, 26]-code), but
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.