Information on Result #672687
Linear OA(257, 16384, F2, 9) (dual of [16384, 16327, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, 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(272, 16399, F2, 11) (dual of [16399, 16327, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(258, 16399, F2, 9) (dual of [16399, 16341, 10]-code) | [i] | ✔ | |
| 3 | Linear OA(272, 16400, F2, 11) (dual of [16400, 16328, 12]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(258, 16400, F2, 9) (dual of [16400, 16342, 10]-code) | [i] | ✔ | |
| 5 | Linear OOA(257, 8192, F2, 2, 9) (dual of [(8192, 2), 16327, 10]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(257, 5461, F2, 3, 9) (dual of [(5461, 3), 16326, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(257, 4096, F2, 4, 9) (dual of [(4096, 4), 16327, 10]-NRT-code) | [i] | ||