Information on Result #548271
There is no linear OA(78, 14, F7, 7) (dual of [14, 6, 8]-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 OOA(710, 14, F7, 2, 9) (dual of [(14, 2), 18, 10]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(711, 14, F7, 2, 10) (dual of [(14, 2), 17, 11]-NRT-code) | [i] | ||
| 3 | No linear OOA(712, 14, F7, 2, 11) (dual of [(14, 2), 16, 12]-NRT-code) | [i] | ||
| 4 | No linear OOA(713, 14, F7, 2, 12) (dual of [(14, 2), 15, 13]-NRT-code) | [i] | ||
| 5 | No linear OOA(714, 14, F7, 2, 13) (dual of [(14, 2), 14, 14]-NRT-code) | [i] | ||
| 6 | No linear OOA(715, 14, F7, 2, 14) (dual of [(14, 2), 13, 15]-NRT-code) | [i] | ||
| 7 | No linear OOA(716, 14, F7, 2, 15) (dual of [(14, 2), 12, 16]-NRT-code) | [i] | ||
| 8 | No linear OOA(717, 14, F7, 2, 16) (dual of [(14, 2), 11, 17]-NRT-code) | [i] | ||
| 9 | No linear OOA(718, 14, F7, 2, 17) (dual of [(14, 2), 10, 18]-NRT-code) | [i] | ||
| 10 | No linear OOA(719, 14, F7, 2, 18) (dual of [(14, 2), 9, 19]-NRT-code) | [i] | ||
| 11 | No linear OOA(720, 14, F7, 2, 19) (dual of [(14, 2), 8, 20]-NRT-code) | [i] | ||
| 12 | No linear OOA(721, 14, F7, 2, 20) (dual of [(14, 2), 7, 21]-NRT-code) | [i] | ||
| 13 | No linear OOA(722, 14, F7, 2, 21) (dual of [(14, 2), 6, 22]-NRT-code) | [i] | ||
| 14 | No linear OOA(724, 14, F7, 3, 23) (dual of [(14, 3), 18, 24]-NRT-code) | [i] | ||
| 15 | No linear OOA(725, 14, F7, 3, 24) (dual of [(14, 3), 17, 25]-NRT-code) | [i] | ||
| 16 | No linear OOA(726, 14, F7, 3, 25) (dual of [(14, 3), 16, 26]-NRT-code) | [i] | ||
| 17 | No linear OOA(727, 14, F7, 3, 26) (dual of [(14, 3), 15, 27]-NRT-code) | [i] | ||
| 18 | No linear OOA(728, 14, F7, 3, 27) (dual of [(14, 3), 14, 28]-NRT-code) | [i] | ||
| 19 | No linear OOA(729, 14, F7, 3, 28) (dual of [(14, 3), 13, 29]-NRT-code) | [i] | ||
| 20 | No linear OOA(730, 14, F7, 3, 29) (dual of [(14, 3), 12, 30]-NRT-code) | [i] | ||
| 21 | No linear OOA(731, 14, F7, 3, 30) (dual of [(14, 3), 11, 31]-NRT-code) | [i] | ||
| 22 | No linear OOA(732, 14, F7, 3, 31) (dual of [(14, 3), 10, 32]-NRT-code) | [i] | ||
| 23 | No linear OOA(733, 14, F7, 3, 32) (dual of [(14, 3), 9, 33]-NRT-code) | [i] | ||
| 24 | No linear OOA(734, 14, F7, 3, 33) (dual of [(14, 3), 8, 34]-NRT-code) | [i] | ||
| 25 | No linear OOA(735, 14, F7, 3, 34) (dual of [(14, 3), 7, 35]-NRT-code) | [i] | ||
| 26 | No linear OOA(736, 14, F7, 3, 35) (dual of [(14, 3), 6, 36]-NRT-code) | [i] | ||
| 27 | No linear OOA(78, 14, F7, 2, 7) (dual of [(14, 2), 20, 8]-NRT-code) | [i] | Depth Reduction | |
| 28 | No linear OOA(78, 14, F7, 3, 7) (dual of [(14, 3), 34, 8]-NRT-code) | [i] | ||
| 29 | No digital (1, 8, 14)-net over F7 | [i] | Extracting Embedded Orthogonal Array | |
| 30 | No linear OA(757, 64, F7, 49) (dual of [64, 7, 50]-code) | [i] | Residual Code | |
| 31 | No linear OA(79, 49, F7, 7) (dual of [49, 40, 8]-code) | [i] | Construction Y1 (Bound) | |