Information on Result #738128
Linear OA(3177, 184, F3, 114) (dual of [184, 7, 115]-code), using juxtaposition based on
- linear OA(369, 76, F3, 45) (dual of [76, 7, 46]-code), using
- 5 times truncation [i] based on linear OA(374, 81, F3, 50) (dual of [81, 7, 51]-code), using
- an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- 5 times truncation [i] based on linear OA(374, 81, F3, 50) (dual of [81, 7, 51]-code), using
- linear OA(3101, 108, F3, 68) (dual of [108, 7, 69]-code), using
Mode: Constructive and 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 | Linear OA(3177, 184, F3, 113) (dual of [184, 7, 114]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3177, 184, F3, 112) (dual of [184, 7, 113]-code) | [i] | ||
| 3 | Linear OOA(3177, 92, F3, 2, 114) (dual of [(92, 2), 7, 115]-NRT-code) | [i] | OOA Folding | |