Information on Result #570291
There is no linear OOA(3178, 190, F3, 3, 119) (dual of [(190, 3), 392, 120]-NRT-code), because 1 times depth reduction would yield linear OOA(3178, 190, F3, 2, 119) (dual of [(190, 2), 202, 120]-NRT-code), but
- 2 step m-reduction [i] would yield linear OA(3176, 190, F3, 117) (dual of [190, 14, 118]-code), but
- construction Y1 [i] would yield
- linear OA(3175, 184, F3, 117) (dual of [184, 9, 118]-code), but
- construction Y1 [i] would yield
- linear OA(3174, 180, F3, 117) (dual of [180, 6, 118]-code), but
- residual code [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
- residual code [i] would yield linear OA(357, 62, F3, 39) (dual of [62, 5, 40]-code), but
- OA(39, 184, S3, 4), but
- discarding factors would yield OA(39, 100, S3, 4), but
- the Rao or (dual) Hamming bound shows that M ≥ 20001 > 39 [i]
- discarding factors would yield OA(39, 100, S3, 4), but
- linear OA(3174, 180, F3, 117) (dual of [180, 6, 118]-code), but
- construction Y1 [i] would yield
- OA(314, 190, S3, 6), but
- discarding factors would yield OA(314, 154, S3, 6), but
- the Rao or (dual) Hamming bound shows that M ≥ 4 822665 > 314 [i]
- discarding factors would yield OA(314, 154, S3, 6), but
- linear OA(3175, 184, F3, 117) (dual of [184, 9, 118]-code), but
- construction Y1 [i] would yield
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.