Information on Result #611661
Linear OA(343, 2187, F3, 10) (dual of [2187, 2144, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(342, 2186, F3, 9) (dual of [2186, 2144, 10]-code) | [i] | Truncation | |
| 2 | Linear OA(350, 2194, F3, 11) (dual of [2194, 2144, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(344, 2195, F3, 10) (dual of [2195, 2151, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(358, 2202, F3, 12) (dual of [2202, 2144, 13]-code) | [i] | ✔ | |
| 5 | Linear OA(360, 2200, F3, 13) (dual of [2200, 2140, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(361, 2205, F3, 13) (dual of [2205, 2144, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(346, 2200, F3, 10) (dual of [2200, 2154, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(347, 2205, F3, 10) (dual of [2205, 2158, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(369, 2207, F3, 14) (dual of [2207, 2138, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(370, 2214, F3, 14) (dual of [2214, 2144, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(378, 2216, F3, 15) (dual of [2216, 2138, 16]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(372, 2217, F3, 14) (dual of [2217, 2145, 15]-code) | [i] | ✔ | |
| 13 | Linear OA(359, 2197, F3, 13) (dual of [2197, 2138, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(362, 2209, F3, 12) (dual of [2209, 2147, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(361, 2207, F3, 12) (dual of [2207, 2146, 13]-code) | [i] | ✔ | |
| 16 | Linear OA(352, 2197, F3, 11) (dual of [2197, 2145, 12]-code) | [i] | ✔ | |
| 17 | Linear OA(345, 2197, F3, 10) (dual of [2197, 2152, 11]-code) | [i] | ✔ | |
| 18 | Linear OA(358, 2203, F3, 12) (dual of [2203, 2145, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 19 | Linear OOA(343, 1093, F3, 2, 10) (dual of [(1093, 2), 2143, 11]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(343, 729, F3, 3, 10) (dual of [(729, 3), 2144, 11]-NRT-code) | [i] | ||
| 21 | Linear OOA(343, 546, F3, 4, 10) (dual of [(546, 4), 2141, 11]-NRT-code) | [i] | ||
| 22 | Linear OOA(343, 437, F3, 5, 10) (dual of [(437, 5), 2142, 11]-NRT-code) | [i] | ||
| 23 | Linear OOA(343, 437, F3, 10, 10) (dual of [(437, 10), 4327, 11]-NRT-code) | [i] | OA Folding and Stacking | |