Information on Result #548463
There is no linear OA(3171, 183, F3, 114) (dual of [183, 12, 115]-code), because residual code would yield linear OA(357, 68, F3, 38) (dual of [68, 11, 39]-code), but
- “Gur†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(3172, 184, F3, 115) (dual of [184, 12, 116]-code) | [i] | Truncation | |
| 2 | No linear OA(3173, 185, F3, 116) (dual of [185, 12, 117]-code) | [i] | ||
| 3 | No linear OOA(3172, 183, F3, 2, 115) (dual of [(183, 2), 194, 116]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(3173, 183, F3, 2, 116) (dual of [(183, 2), 193, 117]-NRT-code) | [i] | ||
| 5 | No linear OOA(3171, 183, F3, 2, 114) (dual of [(183, 2), 195, 115]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3171, 183, F3, 3, 114) (dual of [(183, 3), 378, 115]-NRT-code) | [i] | ||
| 7 | No linear OOA(3171, 183, F3, 4, 114) (dual of [(183, 4), 561, 115]-NRT-code) | [i] | ||
| 8 | No linear OOA(3171, 183, F3, 5, 114) (dual of [(183, 5), 744, 115]-NRT-code) | [i] | ||
| 9 | No digital (57, 171, 183)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |