Information on Result #611611
Linear OA(336, 2187, F3, 8) (dual of [2187, 2151, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
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(340, 2192, F3, 8) (dual of [2192, 2152, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(344, 2195, F3, 10) (dual of [2195, 2151, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(336, 2194, F3, 8) (dual of [2194, 2158, 9]-code) | [i] | ✔ | |
| 4 | Linear OA(353, 2200, F3, 11) (dual of [2200, 2147, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(354, 2205, F3, 11) (dual of [2205, 2151, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(339, 2200, F3, 8) (dual of [2200, 2161, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(340, 2205, F3, 8) (dual of [2205, 2165, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(364, 2214, F3, 13) (dual of [2214, 2150, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(363, 2214, F3, 12) (dual of [2214, 2151, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(372, 2217, F3, 14) (dual of [2217, 2145, 15]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(362, 2209, F3, 12) (dual of [2209, 2147, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(361, 2207, F3, 12) (dual of [2207, 2146, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(352, 2197, F3, 11) (dual of [2197, 2145, 12]-code) | [i] | ✔ | |
| 14 | Linear OA(345, 2197, F3, 10) (dual of [2197, 2152, 11]-code) | [i] | ✔ | |
| 15 | Linear OA(338, 2197, F3, 8) (dual of [2197, 2159, 9]-code) | [i] | ✔ | |