Information on Result #2160655
There is no linear OA(3171, 180, F3, 115) (dual of [180, 9, 116]-code), because 1 times truncation would yield linear OA(3170, 179, F3, 114) (dual of [179, 9, 115]-code), but
- construction Y1 [i] would yield
- linear OA(3169, 175, F3, 114) (dual of [175, 6, 115]-code), but
- residual code [i] would yield linear OA(355, 60, F3, 38) (dual of [60, 5, 39]-code), but
- 2 times truncation [i] would yield linear OA(353, 58, F3, 36) (dual of [58, 5, 37]-code), but
- residual code [i] would yield linear OA(317, 21, F3, 12) (dual of [21, 4, 13]-code), but
- 2 times truncation [i] would yield linear OA(353, 58, F3, 36) (dual of [58, 5, 37]-code), but
- residual code [i] would yield linear OA(355, 60, F3, 38) (dual of [60, 5, 39]-code), but
- OA(39, 179, 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(3169, 175, F3, 114) (dual of [175, 6, 115]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.