Information on Result #548326
There is no linear OA(2138, 147, F2, 70) (dual of [147, 9, 71]-code), because residual code would yield linear OA(268, 76, F2, 35) (dual of [76, 8, 36]-code), but
- “BJV†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(2139, 148, F2, 71) (dual of [148, 9, 72]-code) | [i] | Truncation | |
| 2 | No linear OOA(2139, 147, F2, 2, 71) (dual of [(147, 2), 155, 72]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(2138, 147, F2, 2, 70) (dual of [(147, 2), 156, 71]-NRT-code) | [i] | Depth Reduction | |
| 4 | No linear OOA(2138, 147, F2, 3, 70) (dual of [(147, 3), 303, 71]-NRT-code) | [i] | ||
| 5 | No linear OOA(2138, 147, F2, 4, 70) (dual of [(147, 4), 450, 71]-NRT-code) | [i] | ||
| 6 | No linear OOA(2138, 147, F2, 5, 70) (dual of [(147, 5), 597, 71]-NRT-code) | [i] | ||
| 7 | No linear OOA(2138, 147, F2, 6, 70) (dual of [(147, 6), 744, 71]-NRT-code) | [i] | ||
| 8 | No linear OOA(2138, 147, F2, 7, 70) (dual of [(147, 7), 891, 71]-NRT-code) | [i] | ||
| 9 | No linear OOA(2138, 147, F2, 8, 70) (dual of [(147, 8), 1038, 71]-NRT-code) | [i] | ||
| 10 | No digital (68, 138, 147)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |