Information on Result #673912
Linear OA(2177, 255, F2, 55) (dual of [255, 78, 56]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [0,54], and designed minimum distance d ≥ |I|+1 = 56
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2191, 263, F2, 60) (dual of [263, 72, 61]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2192, 266, F2, 60) (dual of [266, 74, 61]-code) | [i] | ✔ | |
| 3 | Linear OA(2193, 271, F2, 60) (dual of [271, 78, 61]-code) | [i] | ✔ | |
| 4 | Linear OA(2187, 273, F2, 57) (dual of [273, 86, 58]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(2199, 270, F2, 62) (dual of [270, 71, 63]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 6 | Linear OA(2195, 274, F2, 60) (dual of [274, 79, 61]-code) | [i] | ✔ | |
| 7 | Linear OOA(2177, 85, F2, 3, 55) (dual of [(85, 3), 78, 56]-NRT-code) | [i] | OOA Folding | |