Information on Result #611190
Linear OA(285, 256, F2, 23) (dual of [256, 171, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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(296, 268, F2, 23) (dual of [268, 172, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(294, 265, F2, 25) (dual of [265, 171, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(286, 265, F2, 23) (dual of [265, 179, 24]-code) | [i] | ✔ | |
| 4 | Linear OA(2106, 272, F2, 27) (dual of [272, 166, 28]-code) | [i] | ✔ | |
| 5 | Linear OA(2107, 278, F2, 27) (dual of [278, 171, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(290, 272, F2, 23) (dual of [272, 182, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(291, 278, F2, 23) (dual of [278, 187, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(2120, 289, F2, 29) (dual of [289, 169, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(2122, 293, F2, 29) (dual of [293, 171, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(296, 287, F2, 23) (dual of [287, 191, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(2131, 295, F2, 30) (dual of [295, 164, 31]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(2119, 285, F2, 29) (dual of [285, 166, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(2118, 283, F2, 29) (dual of [283, 165, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(2117, 281, F2, 29) (dual of [281, 164, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(2123, 295, F2, 28) (dual of [295, 172, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(2105, 270, F2, 27) (dual of [270, 165, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(2104, 268, F2, 27) (dual of [268, 164, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(2111, 285, F2, 27) (dual of [285, 174, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(2110, 283, F2, 27) (dual of [283, 173, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(2109, 281, F2, 27) (dual of [281, 172, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(297, 270, F2, 25) (dual of [270, 173, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(296, 268, F2, 25) (dual of [268, 172, 26]-code) | [i] | ✔ | |
| 23 | Linear OA(289, 270, F2, 23) (dual of [270, 181, 24]-code) | [i] | ✔ | |
| 24 | Linear OA(288, 268, F2, 23) (dual of [268, 180, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(295, 285, F2, 23) (dual of [285, 190, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(294, 283, F2, 23) (dual of [283, 189, 24]-code) | [i] | ✔ | |
| 27 | Linear OA(293, 281, F2, 23) (dual of [281, 188, 24]-code) | [i] | ✔ | |
| 28 | Linear OA(299, 292, F2, 23) (dual of [292, 193, 24]-code) | [i] | ✔ | |
| 29 | Linear OA(298, 290, F2, 23) (dual of [290, 192, 24]-code) | [i] | ✔ | |
| 30 | Linear OOA(285, 128, F2, 2, 23) (dual of [(128, 2), 171, 24]-NRT-code) | [i] | OOA Folding | |
| 31 | Linear OOA(285, 64, F2, 4, 23) (dual of [(64, 4), 171, 24]-NRT-code) | [i] | ||