Information on Result #582123
There is no linear OOA(3134, 166, F3, 4, 86) (dual of [(166, 4), 530, 87]-NRT-code), because 3 times depth reduction would yield linear OA(3134, 166, F3, 86) (dual of [166, 32, 87]-code), but
- construction Y1 [i] would yield
- OA(3133, 150, S3, 86), but
- the linear programming bound shows that M ≥ 10206 967808 467913 747808 389212 583004 511164 705253 854573 732746 285224 754829 / 2 832691 > 3133 [i]
- OA(332, 166, S3, 16), but
- discarding factors would yield OA(332, 156, S3, 16), but
- the Rao or (dual) Hamming bound shows that M ≥ 1906 607562 901809 > 332 [i]
- discarding factors would yield OA(332, 156, S3, 16), but
- OA(3133, 150, S3, 86), 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.