Information on Result #548451
There is no linear OA(3111, 117, F3, 75) (dual of [117, 6, 76]-code), because residual code would yield linear OA(336, 41, F3, 25) (dual of [41, 5, 26]-code), but
- 1 times truncation [i] would yield linear OA(335, 40, F3, 24) (dual of [40, 5, 25]-code), but
- “vE1†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(3112, 118, F3, 76) (dual of [118, 6, 77]-code) | [i] | Truncation | |
| 2 | No linear OA(3113, 119, F3, 77) (dual of [119, 6, 78]-code) | [i] | ||
| 3 | No linear OA(3115, 121, F3, 79) (dual of [121, 6, 80]-code) | [i] | ||
| 4 | No linear OA(3116, 122, F3, 80) (dual of [122, 6, 81]-code) | [i] | ||
| 5 | No linear OOA(3111, 117, F3, 2, 75) (dual of [(117, 2), 123, 76]-NRT-code) | [i] | Depth Reduction | |
| 6 | No linear OOA(3111, 117, F3, 3, 75) (dual of [(117, 3), 240, 76]-NRT-code) | [i] | ||
| 7 | No linear OOA(3111, 117, F3, 4, 75) (dual of [(117, 4), 357, 76]-NRT-code) | [i] | ||
| 8 | No linear OOA(3111, 117, F3, 5, 75) (dual of [(117, 5), 474, 76]-NRT-code) | [i] | ||