Information on Result #611855
Linear OA(366, 243, F3, 20) (dual of [243, 177, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20
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(372, 249, F3, 22) (dual of [249, 177, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(366, 248, F3, 20) (dual of [248, 182, 21]-code) | [i] | ✔ | |
| 3 | Linear OA(379, 256, F3, 23) (dual of [256, 177, 24]-code) | [i] | ✔ | |
| 4 | Linear OA(369, 256, F3, 20) (dual of [256, 187, 21]-code) | [i] | ✔ | |
| 5 | Linear OA(388, 265, F3, 25) (dual of [265, 177, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(386, 263, F3, 24) (dual of [263, 177, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(371, 263, F3, 20) (dual of [263, 192, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(394, 271, F3, 26) (dual of [271, 177, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(374, 271, F3, 20) (dual of [271, 197, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(3104, 278, F3, 28) (dual of [278, 174, 29]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(3102, 276, F3, 27) (dual of [276, 174, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(3103, 276, F3, 28) (dual of [276, 173, 29]-code) | [i] | ✔ | |
| 13 | Linear OA(399, 279, F3, 26) (dual of [279, 180, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(398, 277, F3, 26) (dual of [277, 179, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(397, 275, F3, 26) (dual of [275, 178, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(385, 259, F3, 24) (dual of [259, 174, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(378, 251, F3, 23) (dual of [251, 173, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(373, 251, F3, 22) (dual of [251, 178, 23]-code) | [i] | ✔ | |
| 19 | Linear OA(368, 251, F3, 20) (dual of [251, 183, 21]-code) | [i] | ✔ | |
| 20 | Linear OA(3107, 280, F3, 30) (dual of [280, 173, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(3105, 278, F3, 29) (dual of [278, 173, 30]-code) | [i] | ✔ | |