Information on Result #574262
There is no linear OOA(4207, 215, F4, 3, 156) (dual of [(215, 3), 438, 157]-NRT-code), because 2 times depth reduction would yield linear OA(4207, 215, F4, 156) (dual of [215, 8, 157]-code), but
- construction Y1 [i] would yield
- linear OA(4206, 211, F4, 156) (dual of [211, 5, 157]-code), but
- residual code [i] would yield linear OA(450, 54, F4, 39) (dual of [54, 4, 40]-code), but
- 3 times truncation [i] would yield linear OA(447, 51, F4, 36) (dual of [51, 4, 37]-code), but
- residual code [i] would yield linear OA(450, 54, F4, 39) (dual of [54, 4, 40]-code), but
- OA(48, 215, 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
- linear OA(4206, 211, F4, 156) (dual of [211, 5, 157]-code), 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.
Other Results with Identical Parameters
None.
Depending Results
None.