Information on Result #610900
Linear OA(225, 256, F2, 7) (dual of [256, 231, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(234, 265, F2, 9) (dual of [265, 231, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(226, 265, F2, 7) (dual of [265, 239, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(245, 270, F2, 11) (dual of [270, 225, 12]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(244, 268, F2, 11) (dual of [268, 224, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(234, 266, F2, 9) (dual of [266, 232, 10]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(226, 266, F2, 7) (dual of [266, 240, 8]-code) | [i] | ✔ | |
| 7 | Linear OOA(225, 128, F2, 2, 7) (dual of [(128, 2), 231, 8]-NRT-code) | [i] | OOA Folding | |