Information on Result #675913
Linear OA(357, 2187, F3, 13) (dual of [2187, 2130, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(364, 2194, F3, 14) (dual of [2194, 2130, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(358, 2195, F3, 13) (dual of [2195, 2137, 14]-code) | [i] | ✔ | |
| 3 | Linear OA(374, 2200, F3, 16) (dual of [2200, 2126, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(375, 2205, F3, 16) (dual of [2205, 2130, 17]-code) | [i] | ✔ | |
| 5 | Linear OA(358, 2202, F3, 12) (dual of [2202, 2144, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(360, 2200, F3, 13) (dual of [2200, 2140, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(361, 2205, F3, 13) (dual of [2205, 2144, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(383, 2207, F3, 17) (dual of [2207, 2124, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(384, 2214, F3, 17) (dual of [2214, 2130, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(364, 2214, F3, 13) (dual of [2214, 2150, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(363, 2214, F3, 12) (dual of [2214, 2151, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(394, 2218, F3, 19) (dual of [2218, 2124, 20]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(392, 2216, F3, 18) (dual of [2216, 2124, 19]-code) | [i] | ✔ | |
| 14 | Linear OA(387, 2219, F3, 17) (dual of [2219, 2132, 18]-code) | [i] | ✔ | |
| 15 | Linear OA(386, 2217, F3, 17) (dual of [2217, 2131, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(373, 2197, F3, 16) (dual of [2197, 2124, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(376, 2209, F3, 15) (dual of [2209, 2133, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(377, 2208, F3, 16) (dual of [2208, 2131, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(366, 2197, F3, 14) (dual of [2197, 2131, 15]-code) | [i] | ✔ | |
| 20 | Linear OA(359, 2197, F3, 13) (dual of [2197, 2138, 14]-code) | [i] | ✔ | |
| 21 | Linear OA(362, 2209, F3, 12) (dual of [2209, 2147, 13]-code) | [i] | ✔ | |
| 22 | Linear OA(361, 2207, F3, 12) (dual of [2207, 2146, 13]-code) | [i] | ✔ | |
| 23 | Linear OA(358, 2203, F3, 12) (dual of [2203, 2145, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 24 | Linear OOA(357, 729, F3, 3, 13) (dual of [(729, 3), 2130, 14]-NRT-code) | [i] | OOA Folding | |
| 25 | Linear OOA(357, 437, F3, 5, 13) (dual of [(437, 5), 2128, 14]-NRT-code) | [i] | ||