Information on Result #581168
There is no linear OOA(358, 66, F3, 4, 39) (dual of [(66, 4), 206, 40]-NRT-code), because 3 times depth reduction would yield linear OA(358, 66, F3, 39) (dual of [66, 8, 40]-code), but
- construction Y1 [i] would yield
- linear OA(357, 62, F3, 39) (dual of [62, 5, 40]-code), but
- residual code [i] would yield linear OA(318, 22, F3, 13) (dual of [22, 4, 14]-code), but
- 1 times truncation [i] would yield linear OA(317, 21, F3, 12) (dual of [21, 4, 13]-code), but
- residual code [i] would yield linear OA(318, 22, F3, 13) (dual of [22, 4, 14]-code), but
- OA(38, 66, S3, 4), but
- discarding factors would yield OA(38, 58, S3, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 6729 > 38 [i]
- discarding factors would yield OA(38, 58, S3, 4), but
- linear OA(357, 62, F3, 39) (dual of [62, 5, 40]-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.