Information on Result #548488
There is no linear OA(3232, 239, F3, 156) (dual of [239, 7, 157]-code), because residual code would yield linear OA(376, 82, F3, 52) (dual of [82, 6, 53]-code), but
- 1 times truncation [i] would yield linear OA(375, 81, F3, 51) (dual of [81, 6, 52]-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 OA(3233, 240, F3, 157) (dual of [240, 7, 158]-code) | [i] | Truncation | |
| 2 | No linear OA(3234, 241, F3, 158) (dual of [241, 7, 159]-code) | [i] | ||
| 3 | No linear OA(3236, 243, F3, 160) (dual of [243, 7, 161]-code) | [i] | ||
| 4 | No linear OA(3237, 244, F3, 161) (dual of [244, 7, 162]-code) | [i] | ||
| 5 | No linear OOA(3232, 239, F3, 2, 156) (dual of [(239, 2), 246, 157]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3232, 239, F3, 3, 156) (dual of [(239, 3), 485, 157]-NRT-code) | [i] | ||
| 7 | No linear OOA(3232, 239, F3, 4, 156) (dual of [(239, 4), 724, 157]-NRT-code) | [i] | ||
| 8 | No linear OOA(3232, 239, F3, 5, 156) (dual of [(239, 5), 963, 157]-NRT-code) | [i] | ||