Information on Result #701750
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 = {−2,−1,…,18}, 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(282, 273, F2, 21) (dual of [273, 191, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(279, 270, F2, 20) (dual of [270, 191, 21]-code) | [i] | ✔ | |
| 3 | Linear OA(279, 269, F2, 21) (dual of [269, 190, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(290, 277, F2, 23) (dual of [277, 187, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(287, 274, F2, 22) (dual of [274, 187, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(287, 273, F2, 23) (dual of [273, 186, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(2104, 293, F2, 25) (dual of [293, 189, 26]-code) | [i] | ✔ | |
| 8 | Linear OOA(277, 85, F2, 3, 21) (dual of [(85, 3), 178, 22]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(277, 51, F2, 5, 21) (dual of [(51, 5), 178, 22]-NRT-code) | [i] | ||
| 10 | Linear OOA(277, 42, F2, 6, 21) (dual of [(42, 6), 175, 22]-NRT-code) | [i] | ||