Information on Result #611738
Linear OA(364, 2187, F3, 14) (dual of [2187, 2123, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(371, 2195, F3, 14) (dual of [2195, 2124, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(372, 2195, F3, 16) (dual of [2195, 2123, 17]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(364, 2194, F3, 14) (dual of [2194, 2130, 15]-code) | [i] | ✔ | |
| 4 | Linear OA(381, 2200, F3, 17) (dual of [2200, 2119, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(382, 2205, F3, 17) (dual of [2205, 2123, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(367, 2200, F3, 14) (dual of [2200, 2133, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(368, 2205, F3, 14) (dual of [2205, 2137, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(392, 2214, F3, 19) (dual of [2214, 2122, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(391, 2214, F3, 18) (dual of [2214, 2123, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(369, 2207, F3, 14) (dual of [2207, 2138, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(370, 2214, F3, 14) (dual of [2214, 2144, 15]-code) | [i] | ✔ | |
| 12 | Linear OA(3102, 2223, F3, 20) (dual of [2223, 2121, 21]-code) | [i] | ✔ | |
| 13 | Linear OA(3103, 2226, F3, 20) (dual of [2226, 2123, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(3102, 2225, F3, 20) (dual of [2225, 2123, 21]-code) | [i] | ✔ | |
| 15 | Linear OA(3101, 2219, F3, 20) (dual of [2219, 2118, 21]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(3100, 2217, F3, 20) (dual of [2217, 2117, 21]-code) | [i] | ✔ | |
| 17 | Linear OA(390, 2209, F3, 18) (dual of [2209, 2119, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(389, 2207, F3, 18) (dual of [2207, 2118, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(388, 2205, F3, 18) (dual of [2205, 2117, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(394, 2218, F3, 19) (dual of [2218, 2124, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(392, 2216, F3, 18) (dual of [2216, 2124, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(380, 2197, F3, 17) (dual of [2197, 2117, 18]-code) | [i] | ✔ | |
| 23 | Linear OA(373, 2197, F3, 16) (dual of [2197, 2124, 17]-code) | [i] | ✔ | |
| 24 | Linear OA(366, 2197, F3, 14) (dual of [2197, 2131, 15]-code) | [i] | ✔ | |
| 25 | Linear OA(372, 2217, F3, 14) (dual of [2217, 2145, 15]-code) | [i] | ✔ | |