Information on Result #674001
Linear OA(215, 128, F2, 5) (dual of [128, 113, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(223, 136, F2, 7) (dual of [136, 113, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(216, 136, F2, 5) (dual of [136, 120, 6]-code) | [i] | ✔ | |
| 3 | Linear OA(232, 139, F2, 9) (dual of [139, 107, 10]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(223, 137, F2, 7) (dual of [137, 114, 8]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(216, 137, F2, 5) (dual of [137, 121, 6]-code) | [i] | ✔ | |
| 6 | Linear OOA(215, 64, F2, 2, 5) (dual of [(64, 2), 113, 6]-NRT-code) | [i] | OOA Folding | |