Information on Result #548209
There is no linear OA(317, 21, F3, 12) (dual of [21, 4, 13]-code), because “HN†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(318, 22, F3, 13) (dual of [22, 4, 14]-code) | [i] | Truncation | |
| 2 | No linear OA(319, 23, F3, 14) (dual of [23, 4, 15]-code) | [i] | ||
| 3 | No linear OOA(318, 21, F3, 2, 13) (dual of [(21, 2), 24, 14]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(317, 21, F3, 2, 12) (dual of [(21, 2), 25, 13]-NRT-code) | [i] | Depth Reduction | |
| 5 | No linear OOA(317, 21, F3, 3, 12) (dual of [(21, 3), 46, 13]-NRT-code) | [i] | ||
| 6 | No linear OOA(317, 21, F3, 4, 12) (dual of [(21, 4), 67, 13]-NRT-code) | [i] | ||
| 7 | No linear OOA(317, 21, F3, 5, 12) (dual of [(21, 5), 88, 13]-NRT-code) | [i] | ||
| 8 | No digital (5, 17, 21)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 9 | No linear OA(353, 58, F3, 36) (dual of [58, 5, 37]-code) | [i] | Residual Code | |
| 10 | No linear OA(318, 27, F3, 12) (dual of [27, 9, 13]-code) | [i] | Construction Y1 (Bound) | |
| 11 | Linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code) | [i] | Dual Code (with Bound on d by Construction Y1) | |