Information on Result #571248
There is no linear OOA(3217, 367, F3, 3, 137) (dual of [(367, 3), 884, 138]-NRT-code), because 1 times depth reduction would yield linear OOA(3217, 367, F3, 2, 137) (dual of [(367, 2), 517, 138]-NRT-code), but
- 2 step m-reduction [i] would yield linear OA(3215, 367, F3, 135) (dual of [367, 152, 136]-code), but
- residual code [i] would yield OA(380, 231, S3, 45), but
- 3 times truncation [i] would yield OA(377, 228, S3, 42), but
- the linear programming bound shows that M ≥ 5912 215514 524704 110906 945136 883000 212719 987869 884535 855049 744419 389403 700722 336619 158801 044684 / 1072 032675 663595 149019 556086 689047 982002 296477 532875 566121 > 377 [i]
- 3 times truncation [i] would yield OA(377, 228, S3, 42), but
- residual code [i] would yield OA(380, 231, S3, 45), 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.