Information on Result #548446
There is no linear OA(385, 94, F3, 57) (dual of [94, 9, 58]-code), because residual code would yield linear OA(328, 36, F3, 19) (dual of [36, 8, 20]-code), but
- 1 times truncation [i] would yield linear OA(327, 35, F3, 18) (dual of [35, 8, 19]-code), but
- residual code [i] would yield linear OA(39, 16, F3, 6) (dual of [16, 7, 7]-code), but
- “vE2†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(39, 16, F3, 6) (dual of [16, 7, 7]-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(385, 94, F3, 2, 57) (dual of [(94, 2), 103, 58]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(385, 94, F3, 3, 57) (dual of [(94, 3), 197, 58]-NRT-code) | [i] | ||
| 3 | No linear OOA(385, 94, F3, 4, 57) (dual of [(94, 4), 291, 58]-NRT-code) | [i] | ||
| 4 | No linear OOA(385, 94, F3, 5, 57) (dual of [(94, 5), 385, 58]-NRT-code) | [i] | ||
| 5 | No digital (28, 85, 94)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |