Information on Result #611679
Linear OA(378, 177147, F3, 11) (dual of [177147, 177069, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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(383, 177153, F3, 11) (dual of [177153, 177070, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(384, 177159, F3, 11) (dual of [177159, 177075, 12]-code) | [i] | ||
| 3 | Linear OA(390, 177159, F3, 13) (dual of [177159, 177069, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(378, 177158, F3, 11) (dual of [177158, 177080, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(3104, 177173, F3, 14) (dual of [177173, 177069, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(382, 177173, F3, 11) (dual of [177173, 177091, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(3119, 177188, F3, 16) (dual of [177188, 177069, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(3117, 177186, F3, 15) (dual of [177186, 177069, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(384, 177186, F3, 11) (dual of [177186, 177102, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(379, 177160, F3, 11) (dual of [177160, 177081, 12]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |