Information on Result #547920
There is no linear OA(4239, 248, F4, 180) (dual of [248, 9, 181]-code), because construction Y1 would yield
- linear OA(4238, 244, F4, 180) (dual of [244, 6, 181]-code), but
- residual code [i] would yield linear OA(458, 63, F4, 45) (dual of [63, 5, 46]-code), but
- 1 times truncation [i] would yield linear OA(457, 62, F4, 44) (dual of [62, 5, 45]-code), but
- residual code [i] would yield linear OA(458, 63, F4, 45) (dual of [63, 5, 46]-code), but
- OA(49, 248, 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.