Information on Result #547866
There is no linear OA(4128, 136, F4, 96) (dual of [136, 8, 97]-code), because construction Y1 would yield
- linear OA(4127, 132, F4, 96) (dual of [132, 5, 97]-code), but
- residual code [i] would yield linear OA(431, 35, F4, 24) (dual of [35, 4, 25]-code), but
- residual code [i] would yield linear OA(47, 10, F4, 6) (dual of [10, 3, 7]-code), but
- residual code [i] would yield linear OA(431, 35, F4, 24) (dual of [35, 4, 25]-code), but
- OA(48, 136, S4, 4), but
- discarding factors would yield OA(48, 121, S4, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 65704 > 48 [i]
- discarding factors would yield OA(48, 121, S4, 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.