Information on Result #611123
Linear OA(269, 256, F2, 19) (dual of [256, 187, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
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(278, 266, F2, 19) (dual of [266, 188, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(278, 265, F2, 21) (dual of [265, 187, 22]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(270, 261, F2, 19) (dual of [261, 191, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(290, 272, F2, 23) (dual of [272, 182, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(291, 278, F2, 23) (dual of [278, 187, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(274, 272, F2, 19) (dual of [272, 198, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(275, 274, F2, 19) (dual of [274, 199, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(2104, 289, F2, 25) (dual of [289, 185, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(2106, 293, F2, 25) (dual of [293, 187, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(280, 287, F2, 19) (dual of [287, 207, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(2115, 295, F2, 26) (dual of [295, 180, 27]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(2103, 285, F2, 25) (dual of [285, 182, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(2102, 283, F2, 25) (dual of [283, 181, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(2101, 281, F2, 25) (dual of [281, 180, 26]-code) | [i] | ✔ | |
| 15 | Linear OA(2107, 295, F2, 24) (dual of [295, 188, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(289, 270, F2, 23) (dual of [270, 181, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(288, 268, F2, 23) (dual of [268, 180, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(295, 285, F2, 23) (dual of [285, 190, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(294, 283, F2, 23) (dual of [283, 189, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(293, 281, F2, 23) (dual of [281, 188, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(281, 270, F2, 21) (dual of [270, 189, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(280, 268, F2, 21) (dual of [268, 188, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(273, 266, F2, 19) (dual of [266, 193, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(272, 264, F2, 19) (dual of [264, 192, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(279, 281, F2, 19) (dual of [281, 202, 20]-code) | [i] | ✔ | |
| 26 | Linear OA(278, 279, F2, 19) (dual of [279, 201, 20]-code) | [i] | ✔ | |
| 27 | Linear OA(277, 277, F2, 19) (dual of [277, 200, 20]-code) | [i] | ✔ | |
| 28 | Linear OOA(269, 128, F2, 2, 19) (dual of [(128, 2), 187, 20]-NRT-code) | [i] | OOA Folding | |
| 29 | Linear OOA(269, 64, F2, 4, 19) (dual of [(64, 4), 187, 20]-NRT-code) | [i] | ||