Information on Result #611460
Linear OA(2184, 255, F2, 60) (dual of [255, 71, 61]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,58], and minimum distance d ≥ 61 (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(2184, 255, F2, 59) (dual of [255, 71, 60]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2184, 255, F2, 58) (dual of [255, 71, 59]-code) | [i] | ||
| 3 | Linear OA(2186, 257, F2, 60) (dual of [257, 71, 61]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(2187, 258, F2, 60) (dual of [258, 71, 61]-code) | [i] | ||
| 5 | Linear OA(2188, 259, F2, 60) (dual of [259, 71, 61]-code) | [i] | ||
| 6 | Linear OA(2185, 256, F2, 61) (dual of [256, 71, 62]-code) | [i] | Adding a Parity Check Bit | |
| 7 | Linear OA(2193, 264, F2, 62) (dual of [264, 71, 63]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(2189, 261, F2, 60) (dual of [261, 72, 61]-code) | [i] | ✔ | |
| 9 | Linear OA(2191, 264, F2, 60) (dual of [264, 73, 61]-code) | [i] | ✔ | |
| 10 | Linear OA(2192, 267, F2, 60) (dual of [267, 75, 61]-code) | [i] | ✔ | |
| 11 | Linear OA(2193, 272, F2, 60) (dual of [272, 79, 61]-code) | [i] | ✔ | |
| 12 | Linear OA(2196, 279, F2, 60) (dual of [279, 83, 61]-code) | [i] | ✔ | |
| 13 | Linear OA(2199, 283, F2, 60) (dual of [283, 84, 61]-code) | [i] | ✔ | |
| 14 | Linear OA(2200, 287, F2, 60) (dual of [287, 87, 61]-code) | [i] | ✔ | |
| 15 | Linear OA(2198, 283, F2, 60) (dual of [283, 85, 61]-code) | [i] | ✔ | |
| 16 | Linear OA(2199, 286, F2, 60) (dual of [286, 87, 61]-code) | [i] | ✔ | |
| 17 | Linear OA(2202, 275, F2, 62) (dual of [275, 73, 63]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 18 | Linear OA(2199, 271, F2, 62) (dual of [271, 72, 63]-code) | [i] | ✔ | |
| 19 | Linear OA(2195, 275, F2, 60) (dual of [275, 80, 61]-code) | [i] | ✔ | |
| 20 | Linear OOA(2184, 127, F2, 2, 60) (dual of [(127, 2), 70, 61]-NRT-code) | [i] | OOA Folding | |
| 21 | Linear OOA(2184, 85, F2, 3, 60) (dual of [(85, 3), 71, 61]-NRT-code) | [i] | ||