Information on Result #672667
Linear OA(2225, 16384, F2, 33) (dual of [16384, 16159, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33
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(2240, 16399, F2, 35) (dual of [16399, 16159, 36]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2226, 16399, F2, 33) (dual of [16399, 16173, 34]-code) | [i] | ✔ | |
| 3 | Linear OA(2238, 16439, F2, 33) (dual of [16439, 16201, 34]-code) | [i] | ✔ | |
| 4 | Linear OA(2237, 16429, F2, 33) (dual of [16429, 16192, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(2237, 16432, F2, 33) (dual of [16432, 16195, 34]-code) | [i] | ✔ | |
| 6 | Linear OOA(2225, 8192, F2, 2, 33) (dual of [(8192, 2), 16159, 34]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2225, 5461, F2, 3, 33) (dual of [(5461, 3), 16158, 34]-NRT-code) | [i] | ||
| 8 | Linear OOA(2225, 4096, F2, 4, 33) (dual of [(4096, 4), 16159, 34]-NRT-code) | [i] | ||
| 9 | Linear OOA(2225, 2730, F2, 6, 33) (dual of [(2730, 6), 16155, 34]-NRT-code) | [i] | ||
| 10 | Linear OOA(2225, 2340, F2, 7, 33) (dual of [(2340, 7), 16155, 34]-NRT-code) | [i] | ||
| 11 | Linear OOA(2225, 2048, F2, 8, 33) (dual of [(2048, 8), 16159, 34]-NRT-code) | [i] | ||