Information on Result #672584
Linear OA(2241, 32768, F2, 33) (dual of [32768, 32527, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, 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(2257, 32784, F2, 35) (dual of [32784, 32527, 36]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2242, 32784, F2, 33) (dual of [32784, 32542, 34]-code) | [i] | ✔ | |
| 3 | Linear OA(2254, 32826, F2, 33) (dual of [32826, 32572, 34]-code) | [i] | ✔ | |
| 4 | Linear OA(2253, 32813, F2, 33) (dual of [32813, 32560, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(2253, 32816, F2, 33) (dual of [32816, 32563, 34]-code) | [i] | ✔ | |
| 6 | Linear OOA(2241, 16384, F2, 2, 33) (dual of [(16384, 2), 32527, 34]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2241, 8192, F2, 4, 33) (dual of [(8192, 4), 32527, 34]-NRT-code) | [i] | ||
| 8 | Linear OOA(2241, 6553, F2, 5, 33) (dual of [(6553, 5), 32524, 34]-NRT-code) | [i] | ||
| 9 | Linear OOA(2241, 5461, F2, 6, 33) (dual of [(5461, 6), 32525, 34]-NRT-code) | [i] | ||
| 10 | Linear OOA(2241, 4681, F2, 7, 33) (dual of [(4681, 7), 32526, 34]-NRT-code) | [i] | ||
| 11 | Linear OOA(2241, 4096, F2, 8, 33) (dual of [(4096, 8), 32527, 34]-NRT-code) | [i] | ||