Information on Result #672186
Linear OA(289, 4194304, F2, 9) (dual of [4194304, 4194215, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2112, 4194327, F2, 11) (dual of [4194327, 4194215, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(290, 4194327, F2, 9) (dual of [4194327, 4194237, 10]-code) | [i] | ✔ | |
| 3 | Linear OA(2112, 4194328, F2, 11) (dual of [4194328, 4194216, 12]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(290, 4194328, F2, 9) (dual of [4194328, 4194238, 10]-code) | [i] | ✔ | |
| 5 | Linear OOA(289, 2097152, F2, 2, 9) (dual of [(2097152, 2), 4194215, 10]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(289, 1398101, F2, 3, 9) (dual of [(1398101, 3), 4194214, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(289, 1048576, F2, 4, 9) (dual of [(1048576, 4), 4194215, 10]-NRT-code) | [i] | ||