Information on Result #548276
There is no linear OA(89, 15, F8, 8) (dual of [15, 6, 9]-code), because “MPa†bound on codes from Brouwer’s database
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(810, 16, F8, 9) (dual of [16, 6, 10]-code) | [i] | Truncation | |
| 2 | No linear OOA(810, 15, F8, 2, 9) (dual of [(15, 2), 20, 10]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(811, 15, F8, 2, 10) (dual of [(15, 2), 19, 11]-NRT-code) | [i] | ||
| 4 | No linear OOA(812, 15, F8, 2, 11) (dual of [(15, 2), 18, 12]-NRT-code) | [i] | ||
| 5 | No linear OOA(813, 15, F8, 2, 12) (dual of [(15, 2), 17, 13]-NRT-code) | [i] | ||
| 6 | No linear OOA(814, 15, F8, 2, 13) (dual of [(15, 2), 16, 14]-NRT-code) | [i] | ||
| 7 | No linear OOA(815, 15, F8, 2, 14) (dual of [(15, 2), 15, 15]-NRT-code) | [i] | ||
| 8 | No linear OOA(816, 15, F8, 2, 15) (dual of [(15, 2), 14, 16]-NRT-code) | [i] | ||
| 9 | No linear OOA(817, 15, F8, 2, 16) (dual of [(15, 2), 13, 17]-NRT-code) | [i] | ||
| 10 | No linear OOA(818, 15, F8, 2, 17) (dual of [(15, 2), 12, 18]-NRT-code) | [i] | ||
| 11 | No linear OOA(819, 15, F8, 2, 18) (dual of [(15, 2), 11, 19]-NRT-code) | [i] | ||
| 12 | No linear OOA(820, 15, F8, 2, 19) (dual of [(15, 2), 10, 20]-NRT-code) | [i] | ||
| 13 | No linear OOA(821, 15, F8, 2, 20) (dual of [(15, 2), 9, 21]-NRT-code) | [i] | ||
| 14 | No linear OOA(822, 15, F8, 2, 21) (dual of [(15, 2), 8, 22]-NRT-code) | [i] | ||
| 15 | No linear OOA(823, 15, F8, 2, 22) (dual of [(15, 2), 7, 23]-NRT-code) | [i] | ||
| 16 | No linear OOA(824, 15, F8, 2, 23) (dual of [(15, 2), 6, 24]-NRT-code) | [i] | ||
| 17 | No linear OOA(825, 15, F8, 3, 24) (dual of [(15, 3), 20, 25]-NRT-code) | [i] | ||
| 18 | No linear OOA(826, 15, F8, 3, 25) (dual of [(15, 3), 19, 26]-NRT-code) | [i] | ||
| 19 | No linear OOA(827, 15, F8, 3, 26) (dual of [(15, 3), 18, 27]-NRT-code) | [i] | ||
| 20 | No linear OOA(828, 15, F8, 3, 27) (dual of [(15, 3), 17, 28]-NRT-code) | [i] | ||
| 21 | No linear OOA(829, 15, F8, 3, 28) (dual of [(15, 3), 16, 29]-NRT-code) | [i] | ||
| 22 | No linear OOA(830, 15, F8, 3, 29) (dual of [(15, 3), 15, 30]-NRT-code) | [i] | ||
| 23 | No linear OOA(831, 15, F8, 3, 30) (dual of [(15, 3), 14, 31]-NRT-code) | [i] | ||
| 24 | No linear OOA(832, 15, F8, 3, 31) (dual of [(15, 3), 13, 32]-NRT-code) | [i] | ||
| 25 | No linear OOA(833, 15, F8, 3, 32) (dual of [(15, 3), 12, 33]-NRT-code) | [i] | ||
| 26 | No linear OOA(834, 15, F8, 3, 33) (dual of [(15, 3), 11, 34]-NRT-code) | [i] | ||
| 27 | No linear OOA(835, 15, F8, 3, 34) (dual of [(15, 3), 10, 35]-NRT-code) | [i] | ||
| 28 | No linear OOA(836, 15, F8, 3, 35) (dual of [(15, 3), 9, 36]-NRT-code) | [i] | ||
| 29 | No linear OOA(837, 15, F8, 3, 36) (dual of [(15, 3), 8, 37]-NRT-code) | [i] | ||
| 30 | No linear OOA(838, 15, F8, 3, 37) (dual of [(15, 3), 7, 38]-NRT-code) | [i] | ||
| 31 | No linear OOA(839, 15, F8, 3, 38) (dual of [(15, 3), 6, 39]-NRT-code) | [i] | ||
| 32 | No linear OOA(89, 15, F8, 2, 8) (dual of [(15, 2), 21, 9]-NRT-code) | [i] | Depth Reduction | |
| 33 | No linear OOA(89, 15, F8, 3, 8) (dual of [(15, 3), 36, 9]-NRT-code) | [i] | ||
| 34 | No digital (1, 9, 15)-net over F8 | [i] | Extracting Embedded Orthogonal Array | |
| 35 | No linear OA(873, 80, F8, 64) (dual of [80, 7, 65]-code) | [i] | Residual Code | |
| 36 | No linear OA(810, 55, F8, 8) (dual of [55, 45, 9]-code) | [i] | Construction Y1 (Bound) | |