Information on Result #547511
There is no linear OA(524, 28, F5, 20) (dual of [28, 4, 21]-code), because residual code would yield OA(54, 7, S5, 4), 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.
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(525, 29, F5, 21) (dual of [29, 4, 22]-code) | [i] | Truncation | |
| 2 | No linear OA(526, 30, F5, 22) (dual of [30, 4, 23]-code) | [i] | ||
| 3 | No linear OA(527, 31, F5, 23) (dual of [31, 4, 24]-code) | [i] | ||
| 4 | No linear OA(528, 32, F5, 24) (dual of [32, 4, 25]-code) | [i] | ||
| 5 | No linear OOA(525, 28, F5, 2, 21) (dual of [(28, 2), 31, 22]-NRT-code) | [i] | m-Reduction for OOAs | |
| 6 | No linear OOA(526, 28, F5, 2, 22) (dual of [(28, 2), 30, 23]-NRT-code) | [i] | ||
| 7 | No linear OOA(527, 28, F5, 2, 23) (dual of [(28, 2), 29, 24]-NRT-code) | [i] | ||
| 8 | No linear OOA(528, 28, F5, 2, 24) (dual of [(28, 2), 28, 25]-NRT-code) | [i] | ||
| 9 | No linear OOA(539, 28, F5, 2, 35) (dual of [(28, 2), 17, 36]-NRT-code) | [i] | ||
| 10 | No linear OOA(524, 28, F5, 2, 20) (dual of [(28, 2), 32, 21]-NRT-code) | [i] | Depth Reduction | |
| 11 | No linear OOA(524, 28, F5, 3, 20) (dual of [(28, 3), 60, 21]-NRT-code) | [i] | ||
| 12 | No digital (4, 24, 28)-net over F5 | [i] | Extracting Embedded Orthogonal Array | |
| 13 | No linear OA(5124, 129, F5, 100) (dual of [129, 5, 101]-code) | [i] | Residual Code | |
| 14 | No linear OA(58, 32, F5, 6) (dual of [32, 24, 7]-code) | [i] | Construction Y1 (Bound) | |
| 15 | No linear OA(525, 39, F5, 20) (dual of [39, 14, 21]-code) | [i] | ||