Information on Result #612716
Linear OA(441, 256, F4, 14) (dual of [256, 215, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, 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(448, 264, F4, 14) (dual of [264, 216, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(449, 266, F4, 14) (dual of [266, 217, 15]-code) | [i] | ||
| 3 | Linear OA(445, 260, F4, 15) (dual of [260, 215, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(441, 260, F4, 14) (dual of [260, 219, 15]-code) | [i] | ✔ | |
| 5 | Linear OA(450, 265, F4, 16) (dual of [265, 215, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(452, 267, F4, 17) (dual of [267, 215, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(444, 267, F4, 14) (dual of [267, 223, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(455, 270, F4, 18) (dual of [270, 215, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(445, 272, F4, 14) (dual of [272, 227, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(461, 276, F4, 19) (dual of [276, 215, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(447, 277, F4, 14) (dual of [277, 230, 15]-code) | [i] | ✔ | |
| 12 | Linear OA(448, 279, F4, 14) (dual of [279, 231, 15]-code) | [i] | ✔ | |
| 13 | Linear OA(469, 281, F4, 21) (dual of [281, 212, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(471, 286, F4, 21) (dual of [286, 215, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(468, 281, F4, 20) (dual of [281, 213, 21]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(466, 278, F4, 20) (dual of [278, 212, 21]-code) | [i] | ✔ | |
| 17 | Linear OA(460, 272, F4, 19) (dual of [272, 212, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(464, 281, F4, 19) (dual of [281, 217, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(462, 278, F4, 19) (dual of [278, 216, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(456, 272, F4, 18) (dual of [272, 216, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(451, 263, F4, 17) (dual of [263, 212, 18]-code) | [i] | ✔ | |
| 22 | Linear OA(451, 267, F4, 16) (dual of [267, 216, 17]-code) | [i] | ✔ | |
| 23 | Linear OA(443, 263, F4, 14) (dual of [263, 220, 15]-code) | [i] | ✔ | |
| 24 | Linear OA(446, 274, F4, 14) (dual of [274, 228, 15]-code) | [i] | ✔ | |
| 25 | Linear OA(442, 270, F4, 12) (dual of [270, 228, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |