Information on Result #611802
Linear OA(378, 2187, F3, 17) (dual of [2187, 2109, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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(386, 2196, F3, 17) (dual of [2196, 2110, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(388, 2200, F3, 17) (dual of [2200, 2112, 18]-code) | [i] | ||
| 3 | Linear OA(386, 2195, F3, 19) (dual of [2195, 2109, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(378, 2194, F3, 17) (dual of [2194, 2116, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(395, 2200, F3, 20) (dual of [2200, 2105, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(396, 2205, F3, 20) (dual of [2205, 2109, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(381, 2200, F3, 17) (dual of [2200, 2119, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(382, 2205, F3, 17) (dual of [2205, 2123, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(3106, 2214, F3, 22) (dual of [2214, 2108, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(3107, 2216, F3, 22) (dual of [2216, 2109, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(3105, 2214, F3, 21) (dual of [2214, 2109, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(383, 2207, F3, 17) (dual of [2207, 2124, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(384, 2214, F3, 17) (dual of [2214, 2130, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(3116, 2223, F3, 23) (dual of [2223, 2107, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(3117, 2226, F3, 23) (dual of [2226, 2109, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(388, 2223, F3, 17) (dual of [2223, 2135, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(3116, 2225, F3, 23) (dual of [2225, 2109, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(388, 2225, F3, 17) (dual of [2225, 2137, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(3127, 2236, F3, 24) (dual of [2236, 2109, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(3115, 2219, F3, 23) (dual of [2219, 2104, 24]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(3114, 2217, F3, 23) (dual of [2217, 2103, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(3104, 2209, F3, 21) (dual of [2209, 2105, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(3103, 2207, F3, 21) (dual of [2207, 2104, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(3105, 2208, F3, 22) (dual of [2208, 2103, 23]-code) | [i] | ✔ | |
| 25 | Linear OA(3108, 2218, F3, 22) (dual of [2218, 2110, 23]-code) | [i] | ✔ | |
| 26 | Linear OA(3106, 2216, F3, 21) (dual of [2216, 2110, 22]-code) | [i] | ✔ | |
| 27 | Linear OA(394, 2197, F3, 20) (dual of [2197, 2103, 21]-code) | [i] | ✔ | |
| 28 | Linear OA(387, 2197, F3, 19) (dual of [2197, 2110, 20]-code) | [i] | ✔ | |
| 29 | Linear OA(380, 2197, F3, 17) (dual of [2197, 2117, 18]-code) | [i] | ✔ | |
| 30 | Linear OA(387, 2219, F3, 17) (dual of [2219, 2132, 18]-code) | [i] | ✔ | |
| 31 | Linear OA(386, 2217, F3, 17) (dual of [2217, 2131, 18]-code) | [i] | ✔ | |