Information on Result #611464
Linear OA(2192, 255, F2, 62) (dual of [255, 63, 63]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,60], and minimum distance d ≥ 63 (sporadic result)
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(2193, 256, F2, 63) (dual of [256, 63, 64]-code) | [i] | Adding a Parity Check Bit | |
| 2 | Linear OA(2254, 317, F2, 84) (dual of [317, 63, 85]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2193, 264, F2, 62) (dual of [264, 71, 63]-code) | [i] | ✔ | |
| 4 | Linear OA(2258, 319, F2, 86) (dual of [319, 61, 87]-code) | [i] | ✔ | |
| 5 | Linear OA(2259, 322, F2, 86) (dual of [322, 63, 87]-code) | [i] | ✔ | |
| 6 | Linear OA(2253, 311, F2, 84) (dual of [311, 58, 85]-code) | [i] | ✔ | |
| 7 | Linear OA(2252, 310, F2, 84) (dual of [310, 58, 85]-code) | [i] | ✔ | |
| 8 | Linear OA(2253, 313, F2, 84) (dual of [313, 60, 85]-code) | [i] | ✔ | |
| 9 | Linear OA(2248, 311, F2, 82) (dual of [311, 63, 83]-code) | [i] | ✔ | |
| 10 | Linear OA(2202, 275, F2, 62) (dual of [275, 73, 63]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 11 | Linear OA(2199, 271, F2, 62) (dual of [271, 72, 63]-code) | [i] | ✔ | |
| 12 | Linear OOA(2192, 127, F2, 2, 62) (dual of [(127, 2), 62, 63]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(2192, 85, F2, 3, 62) (dual of [(85, 3), 63, 63]-NRT-code) | [i] | ||