Information on Result #547674
There is no linear OA(235, 45, F2, 18) (dual of [45, 10, 19]-code), because construction Y1 would yield
- linear OA(234, 41, F2, 18) (dual of [41, 7, 19]-code), but
- residual code [i] would yield linear OA(216, 22, F2, 9) (dual of [22, 6, 10]-code), but
- 1 times truncation [i] would yield linear OA(215, 21, F2, 8) (dual of [21, 6, 9]-code), but
- residual code [i] would yield linear OA(27, 12, F2, 4) (dual of [12, 5, 5]-code), but
- 1 times truncation [i] would yield linear OA(215, 21, F2, 8) (dual of [21, 6, 9]-code), but
- residual code [i] would yield linear OA(216, 22, F2, 9) (dual of [22, 6, 10]-code), but
- OA(210, 45, S2, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 1036 > 210 [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.