Information on Result #563866
There is no linear OOA(9130, 261, F9, 2, 113) (dual of [(261, 2), 392, 114]-NRT-code), because 3 step m-reduction would yield linear OA(9127, 261, F9, 110) (dual of [261, 134, 111]-code), but
- construction Y1 [i] would yield
- OA(9126, 144, S9, 110), but
- the linear programming bound shows that M ≥ 13985 352127 709815 135823 207322 213660 655679 036196 057151 464807 486617 148753 068973 647813 060841 422573 871412 475846 092090 726797 721652 094761 117031 / 7512 322263 802055 > 9126 [i]
- linear OA(9134, 261, F9, 117) (dual of [261, 127, 118]-code), but
- discarding factors / shortening the dual code would yield linear OA(9134, 251, F9, 117) (dual of [251, 117, 118]-code), but
- residual code [i] would yield OA(917, 133, S9, 13), but
- 1 times truncation [i] would yield OA(916, 132, S9, 12), but
- the linear programming bound shows that M ≥ 366759 481988 110308 514537 173543 / 191 274702 307783 > 916 [i]
- 1 times truncation [i] would yield OA(916, 132, S9, 12), but
- residual code [i] would yield OA(917, 133, S9, 13), but
- discarding factors / shortening the dual code would yield linear OA(9134, 251, F9, 117) (dual of [251, 117, 118]-code), but
- OA(9126, 144, S9, 110), 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(9130, 261, F9, 3, 113) (dual of [(261, 3), 653, 114]-NRT-code) | [i] | Depth Reduction | |