Information on Result #673930
Linear OA(2210, 255, F2, 86) (dual of [255, 45, 87]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,86], and designed minimum distance d ≥ |I|+1 = 87
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
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2209, 239, F2, 86) (dual of [239, 30, 87]-code) | [i] | Construction Y1 | |
| 2 | Linear OA(2258, 319, F2, 86) (dual of [319, 61, 87]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2259, 322, F2, 86) (dual of [322, 63, 87]-code) | [i] | ✔ | |
| 4 | Linear OA(2225, 272, F2, 90) (dual of [272, 47, 91]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(2221, 268, F2, 88) (dual of [268, 47, 89]-code) | [i] | ✔ | |
| 6 | Linear OA(2245, 292, F2, 94) (dual of [292, 47, 95]-code) | [i] | ✔ | |
| 7 | Linear OA(2239, 286, F2, 92) (dual of [286, 47, 93]-code) | [i] | ✔ | |
| 8 | Linear OA(2244, 290, F2, 94) (dual of [290, 46, 95]-code) | [i] | ✔ | |
| 9 | Linear OA(2240, 282, F2, 94) (dual of [282, 42, 95]-code) | [i] | ✔ | |
| 10 | Linear OA(2240, 285, F2, 95) (dual of [285, 45, 96]-code) | [i] | ✔ | |
| 11 | Linear OA(2237, 282, F2, 94) (dual of [282, 45, 95]-code) | [i] | ✔ | |
| 12 | Linear OA(2233, 278, F2, 92) (dual of [278, 45, 93]-code) | [i] | ✔ | |
| 13 | Linear OA(2236, 276, F2, 94) (dual of [276, 40, 95]-code) | [i] | ✔ | |
| 14 | Linear OA(2232, 272, F2, 92) (dual of [272, 40, 93]-code) | [i] | ✔ | |
| 15 | Linear OA(2257, 302, F2, 98) (dual of [302, 45, 99]-code) | [i] | ✔ | |
| 16 | Linear OA(2251, 296, F2, 96) (dual of [296, 45, 97]-code) | [i] | ✔ | |
| 17 | Linear OA(2256, 300, F2, 98) (dual of [300, 44, 99]-code) | [i] | ✔ | |
| 18 | Linear OA(2255, 296, F2, 98) (dual of [296, 41, 99]-code) | [i] | ✔ | |
| 19 | Linear OA(2252, 292, F2, 98) (dual of [292, 40, 99]-code) | [i] | ✔ | |
| 20 | Linear OA(2248, 288, F2, 96) (dual of [288, 40, 97]-code) | [i] | ✔ | |
| 21 | Linear OOA(2210, 127, F2, 2, 86) (dual of [(127, 2), 44, 87]-NRT-code) | [i] | OOA Folding | |
| 22 | Linear OOA(2210, 85, F2, 3, 86) (dual of [(85, 3), 45, 87]-NRT-code) | [i] | ||
| 23 | Linear OOA(2210, 63, F2, 4, 86) (dual of [(63, 4), 42, 87]-NRT-code) | [i] | ||
| 24 | Linear OOA(2210, 51, F2, 5, 86) (dual of [(51, 5), 45, 87]-NRT-code) | [i] | ||
| 25 | Linear OOA(2210, 36, F2, 7, 86) (dual of [(36, 7), 42, 87]-NRT-code) | [i] | ||