Information on Result #588702
There is no linear OOA(3138, 161, F3, 5, 90) (dual of [(161, 5), 667, 91]-NRT-code), because 3 times depth reduction would yield linear OOA(3138, 161, F3, 2, 90) (dual of [(161, 2), 184, 91]-NRT-code), but
- 1 step m-reduction [i] would yield linear OA(3137, 161, F3, 89) (dual of [161, 24, 90]-code), but
- construction Y1 [i] would yield
- OA(3136, 149, S3, 89), but
- the linear programming bound shows that M ≥ 6 385896 362423 839893 456186 755923 270794 744764 572661 578917 513381 685836 804369 / 75 686875 > 3136 [i]
- OA(324, 161, S3, 12), but
- discarding factors would yield OA(324, 124, S3, 12), but
- the Rao or (dual) Hamming bound shows that M ≥ 293147 842993 > 324 [i]
- discarding factors would yield OA(324, 124, S3, 12), but
- OA(3136, 149, S3, 89), 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.