Information on Result #548004
There is no linear OA(8129, 230, F8, 110) (dual of [230, 101, 111]-code), because construction Y1 would yield
- OA(8128, 144, S8, 110), but
- the linear programming bound shows that M ≥ 6109 893966 434273 613815 828543 318095 703793 603744 881950 919851 825987 742070 359262 466307 770153 217353 472069 496822 008994 926770 763501 404160 / 124 535855 141787 > 8128 [i]
- OA(8101, 230, S8, 86), but
- discarding factors would yield OA(8101, 146, S8, 86), but
- the linear programming bound shows that M ≥ 47452 756982 762840 644180 785646 906838 805374 098587 752364 011747 551574 239635 502216 492748 447610 784265 998302 557863 887131 929643 838881 370395 949171 355783 528448 / 2798 356661 117080 828757 255676 140575 034437 993397 485091 746485 > 8101 [i]
- discarding factors would yield OA(8101, 146, S8, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(8130, 231, F8, 111) (dual of [231, 101, 112]-code) | [i] | Truncation | |
| 2 | No linear OA(8131, 232, F8, 112) (dual of [232, 101, 113]-code) | [i] | ||
| 3 | No linear OA(8132, 233, F8, 113) (dual of [233, 101, 114]-code) | [i] | ||
| 4 | No linear OA(8133, 234, F8, 114) (dual of [234, 101, 115]-code) | [i] | ||
| 5 | No linear OA(8134, 235, F8, 115) (dual of [235, 101, 116]-code) | [i] | ||
| 6 | No linear OA(8135, 236, F8, 116) (dual of [236, 101, 117]-code) | [i] | ||
| 7 | No linear OA(8136, 237, F8, 117) (dual of [237, 101, 118]-code) | [i] | ||
| 8 | No linear OA(8137, 238, F8, 118) (dual of [238, 101, 119]-code) | [i] | ||
| 9 | No linear OA(8138, 239, F8, 119) (dual of [239, 101, 120]-code) | [i] | ||
| 10 | No linear OOA(8130, 230, F8, 2, 111) (dual of [(230, 2), 330, 112]-NRT-code) | [i] | m-Reduction for OOAs | |
| 11 | No linear OOA(8131, 230, F8, 2, 112) (dual of [(230, 2), 329, 113]-NRT-code) | [i] | ||
| 12 | No linear OOA(8132, 230, F8, 2, 113) (dual of [(230, 2), 328, 114]-NRT-code) | [i] | ||
| 13 | No linear OOA(8133, 230, F8, 2, 114) (dual of [(230, 2), 327, 115]-NRT-code) | [i] | ||
| 14 | No linear OOA(8134, 230, F8, 2, 115) (dual of [(230, 2), 326, 116]-NRT-code) | [i] | ||
| 15 | No linear OOA(8135, 230, F8, 2, 116) (dual of [(230, 2), 325, 117]-NRT-code) | [i] | ||
| 16 | No linear OOA(8136, 230, F8, 2, 117) (dual of [(230, 2), 324, 118]-NRT-code) | [i] | ||
| 17 | No linear OOA(8137, 230, F8, 2, 118) (dual of [(230, 2), 323, 119]-NRT-code) | [i] | ||
| 18 | No linear OOA(8138, 230, F8, 2, 119) (dual of [(230, 2), 322, 120]-NRT-code) | [i] | ||
| 19 | No linear OOA(8129, 230, F8, 2, 110) (dual of [(230, 2), 331, 111]-NRT-code) | [i] | Depth Reduction | |
| 20 | No linear OOA(8129, 230, F8, 3, 110) (dual of [(230, 3), 561, 111]-NRT-code) | [i] | ||
| 21 | No digital (19, 129, 230)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |
| 22 | No linear OA(8107, 236, F8, 91) (dual of [236, 129, 92]-code) | [i] | Construction Y1 (Bound) | |
| 23 | No linear OA(8114, 243, F8, 97) (dual of [243, 129, 98]-code) | [i] | ||