Information on Result #548512
There is no linear OA(525, 34, F5, 20) (dual of [34, 9, 21]-code), because residual code would yield linear OA(55, 13, F5, 4) (dual of [13, 8, 5]-code), but
- “Bou†bound on codes from Brouwer’s database [i]
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(526, 35, F5, 21) (dual of [35, 9, 22]-code) | [i] | Truncation | |
| 2 | No linear OA(527, 36, F5, 22) (dual of [36, 9, 23]-code) | [i] | ||
| 3 | No linear OA(528, 37, F5, 23) (dual of [37, 9, 24]-code) | [i] | ||
| 4 | No linear OOA(526, 34, F5, 2, 21) (dual of [(34, 2), 42, 22]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(527, 34, F5, 2, 22) (dual of [(34, 2), 41, 23]-NRT-code) | [i] | ||
| 6 | No linear OOA(528, 34, F5, 2, 23) (dual of [(34, 2), 40, 24]-NRT-code) | [i] | ||
| 7 | No linear OOA(525, 34, F5, 2, 20) (dual of [(34, 2), 43, 21]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(525, 34, F5, 3, 20) (dual of [(34, 3), 77, 21]-NRT-code) | [i] | ||
| 9 | No digital (5, 25, 34)-net over F5 | [i] | Extracting Embedded Orthogonal Array | |
| 10 | No linear OA(526, 64, F5, 20) (dual of [64, 38, 21]-code) | [i] | Construction Y1 (Bound) | |