Information on Result #701731
Linear OA(277, 255, F2, 21) (dual of [255, 178, 22]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−18,−17,…,2}, and designed minimum distance d ≥ |I|+1 = 22
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(289, 296, F2, 20) (dual of [296, 207, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(289, 295, F2, 21) (dual of [295, 206, 22]-code) | [i] | ✔ | |
| 3 | Linear OA(287, 286, F2, 21) (dual of [286, 199, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(284, 283, F2, 20) (dual of [283, 199, 21]-code) | [i] | ✔ | |
| 5 | Linear OA(283, 281, F2, 20) (dual of [281, 198, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(283, 280, F2, 21) (dual of [280, 197, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(2117, 304, F2, 27) (dual of [304, 187, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(2114, 301, F2, 26) (dual of [301, 187, 27]-code) | [i] | ✔ | |
| 9 | Linear OOA(277, 85, F2, 3, 21) (dual of [(85, 3), 178, 22]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(277, 51, F2, 5, 21) (dual of [(51, 5), 178, 22]-NRT-code) | [i] | ||
| 11 | Linear OOA(277, 42, F2, 6, 21) (dual of [(42, 6), 175, 22]-NRT-code) | [i] | ||