Information on Result #547675
There is no linear OA(239, 49, F2, 20) (dual of [49, 10, 21]-code), because construction Y1 would yield
- linear OA(238, 45, F2, 20) (dual of [45, 7, 21]-code), but
- residual code [i] would yield linear OA(218, 24, F2, 10) (dual of [24, 6, 11]-code), but
- residual code [i] would yield linear OA(28, 13, F2, 5) (dual of [13, 5, 6]-code), but
- 1 times truncation [i] would yield linear OA(27, 12, F2, 4) (dual of [12, 5, 5]-code), but
- residual code [i] would yield linear OA(28, 13, F2, 5) (dual of [13, 5, 6]-code), but
- residual code [i] would yield linear OA(218, 24, F2, 10) (dual of [24, 6, 11]-code), but
- OA(210, 49, S2, 4), but
- discarding factors would yield OA(210, 45, S2, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 1036 > 210 [i]
- discarding factors would yield OA(210, 45, S2, 4), 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.