Information on Result #611049
Linear OA(257, 256, F2, 15) (dual of [256, 199, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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(266, 265, F2, 17) (dual of [265, 199, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(258, 265, F2, 15) (dual of [265, 207, 16]-code) | [i] | ✔ | |
| 3 | Linear OA(274, 272, F2, 19) (dual of [272, 198, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(275, 274, F2, 19) (dual of [274, 199, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(262, 272, F2, 15) (dual of [272, 210, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(263, 278, F2, 15) (dual of [278, 215, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(288, 287, F2, 21) (dual of [287, 199, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(299, 292, F2, 23) (dual of [292, 193, 24]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(298, 290, F2, 23) (dual of [290, 192, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(287, 281, F2, 21) (dual of [281, 194, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(286, 279, F2, 21) (dual of [279, 193, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(285, 277, F2, 21) (dual of [277, 192, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(290, 290, F2, 21) (dual of [290, 200, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(273, 266, F2, 19) (dual of [266, 193, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(272, 264, F2, 19) (dual of [264, 192, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(279, 281, F2, 19) (dual of [281, 202, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(278, 279, F2, 19) (dual of [279, 201, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(277, 277, F2, 19) (dual of [277, 200, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(269, 270, F2, 17) (dual of [270, 201, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(268, 268, F2, 17) (dual of [268, 200, 18]-code) | [i] | ✔ | |
| 21 | Linear OA(261, 270, F2, 15) (dual of [270, 209, 16]-code) | [i] | ✔ | |
| 22 | Linear OA(260, 268, F2, 15) (dual of [268, 208, 16]-code) | [i] | ✔ | |
| 23 | Linear OOA(257, 128, F2, 2, 15) (dual of [(128, 2), 199, 16]-NRT-code) | [i] | OOA Folding | |
| 24 | Linear OOA(257, 64, F2, 4, 15) (dual of [(64, 4), 199, 16]-NRT-code) | [i] | ||