Information on Result #673932
Linear OA(2168, 255, F2, 52) (dual of [255, 87, 53]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53
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(2196, 279, F2, 60) (dual of [279, 83, 61]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2199, 283, F2, 60) (dual of [283, 84, 61]-code) | [i] | ✔ | |
| 3 | Linear OA(2200, 287, F2, 60) (dual of [287, 87, 61]-code) | [i] | ✔ | |
| 4 | Linear OA(2198, 283, F2, 60) (dual of [283, 85, 61]-code) | [i] | ✔ | |
| 5 | Linear OA(2199, 286, F2, 60) (dual of [286, 87, 61]-code) | [i] | ✔ | |
| 6 | Linear OA(2182, 273, F2, 55) (dual of [273, 91, 56]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(2179, 270, F2, 54) (dual of [270, 91, 55]-code) | [i] | ✔ | |
| 8 | Linear OA(2190, 277, F2, 57) (dual of [277, 87, 58]-code) | [i] | ✔ | |
| 9 | Linear OA(2187, 274, F2, 56) (dual of [274, 87, 57]-code) | [i] | ✔ | |
| 10 | Linear OA(2195, 275, F2, 60) (dual of [275, 80, 61]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 11 | Linear OOA(2168, 127, F2, 2, 52) (dual of [(127, 2), 86, 53]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(2168, 85, F2, 3, 52) (dual of [(85, 3), 87, 53]-NRT-code) | [i] | ||
| 13 | Linear OOA(2168, 51, F2, 5, 52) (dual of [(51, 5), 87, 53]-NRT-code) | [i] | ||