Information on Result #548573
There is no linear OA(310, 28, F3, 6) (dual of [28, 18, 7]-code), because construction Y1 would yield
- linear OA(39, 16, F3, 6) (dual of [16, 7, 7]-code), but
- “vE2†bound on codes from Brouwer’s database [i]
- linear OA(318, 28, F3, 12) (dual of [28, 10, 13]-code), but
- residual code [i] would yield linear OA(36, 15, F3, 4) (dual of [15, 9, 5]-code), but
- “vE2†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(36, 15, F3, 4) (dual of [15, 9, 5]-code), 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 OOA(310, 28, F3, 2, 6) (dual of [(28, 2), 46, 7]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(310, 28, F3, 3, 6) (dual of [(28, 3), 74, 7]-NRT-code) | [i] | ||
| 3 | No linear OOA(310, 28, F3, 4, 6) (dual of [(28, 4), 102, 7]-NRT-code) | [i] | ||
| 4 | No linear OOA(310, 28, F3, 5, 6) (dual of [(28, 5), 130, 7]-NRT-code) | [i] | ||
| 5 | No digital (4, 10, 28)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |