Information on Result #611555
Linear OA(334, 177147, F3, 5) (dual of [177147, 177113, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(336, 177151, F3, 5) (dual of [177151, 177115, 6]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(334, 160947, F3, 2, 5) (dual of [(160947, 2), 321860, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(334, 160947, F3, 3, 5) (dual of [(160947, 3), 482807, 6]-NRT-code) | [i] | ||
| 4 | Linear OOA(334, 160947, F3, 4, 5) (dual of [(160947, 4), 643754, 6]-NRT-code) | [i] | ||
| 5 | Linear OA(346, 177159, F3, 7) (dual of [177159, 177113, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(334, 177158, F3, 5) (dual of [177158, 177124, 6]-code) | [i] | ✔ | |
| 7 | Linear OA(360, 177173, F3, 8) (dual of [177173, 177113, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(346, 177160, F3, 7) (dual of [177160, 177114, 8]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(335, 177160, F3, 5) (dual of [177160, 177125, 6]-code) | [i] | ✔ | |