Information on Result #701982
Linear OA(2141, 255, F2, 43) (dual of [255, 114, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44
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(2168, 290, F2, 47) (dual of [290, 122, 48]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2167, 284, F2, 47) (dual of [284, 117, 48]-code) | [i] | ✔ | |
| 3 | Linear OA(2159, 273, F2, 47) (dual of [273, 114, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(2172, 286, F2, 49) (dual of [286, 114, 50]-code) | [i] | ✔ | |
| 5 | Linear OA(2171, 280, F2, 49) (dual of [280, 109, 50]-code) | [i] | ✔ | |
| 6 | Linear OOA(2141, 85, F2, 3, 43) (dual of [(85, 3), 114, 44]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2141, 51, F2, 5, 43) (dual of [(51, 5), 114, 44]-NRT-code) | [i] | ||