Information on Result #548273
There is no linear OA(720, 23, F7, 18) (dual of [23, 3, 19]-code), because “Hi4†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(721, 24, F7, 19) (dual of [24, 3, 20]-code) | [i] | Truncation | |
| 2 | No linear OA(722, 25, F7, 20) (dual of [25, 3, 21]-code) | [i] | ||
| 3 | No linear OOA(721, 23, F7, 2, 19) (dual of [(23, 2), 25, 20]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(743, 23, F7, 2, 41) (dual of [(23, 2), 3, 42]-NRT-code) | [i] | ||
| 5 | No linear OOA(766, 23, F7, 3, 64) (dual of [(23, 3), 3, 65]-NRT-code) | [i] | ||
| 6 | No linear OOA(720, 23, F7, 2, 18) (dual of [(23, 2), 26, 19]-NRT-code) | [i] | Depth Reduction | |
| 7 | No linear OOA(720, 23, F7, 3, 18) (dual of [(23, 3), 49, 19]-NRT-code) | [i] | ||
| 8 | No digital (2, 20, 23)-net over F7 | [i] | Extracting Embedded Orthogonal Array | |
| 9 | No linear OA(77, 27, F7, 6) (dual of [27, 20, 7]-code) | [i] | Construction Y1 (Bound) | |
| 10 | No linear OA(721, 35, F7, 18) (dual of [35, 14, 19]-code) | [i] | ||