Information on Result #611736
Linear OA(346, 243, F3, 14) (dual of [243, 197, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(353, 251, F3, 14) (dual of [251, 198, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(352, 249, F3, 16) (dual of [249, 197, 17]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(346, 248, F3, 14) (dual of [248, 202, 15]-code) | [i] | ✔ | |
| 4 | Linear OA(359, 256, F3, 17) (dual of [256, 197, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(349, 256, F3, 14) (dual of [256, 207, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(368, 265, F3, 19) (dual of [265, 197, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(366, 263, F3, 18) (dual of [263, 197, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(351, 263, F3, 14) (dual of [263, 212, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(374, 271, F3, 20) (dual of [271, 197, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(354, 271, F3, 14) (dual of [271, 217, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(365, 259, F3, 18) (dual of [259, 194, 19]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(358, 251, F3, 17) (dual of [251, 193, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(353, 251, F3, 16) (dual of [251, 198, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(348, 251, F3, 14) (dual of [251, 203, 15]-code) | [i] | ✔ | |