Information on Result #547917
There is no linear OA(4234, 243, F4, 176) (dual of [243, 9, 177]-code), because construction Y1 would yield
- linear OA(4233, 239, F4, 176) (dual of [239, 6, 177]-code), but
- residual code [i] would yield linear OA(457, 62, F4, 44) (dual of [62, 5, 45]-code), but
- OA(49, 243, S4, 4), but
- discarding factors would yield OA(49, 242, S4, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 263176 > 49 [i]
- discarding factors would yield OA(49, 242, 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.