Information on Result #672513
Linear OA(2257, 65536, F2, 33) (dual of [65536, 65279, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, 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(2258, 65553, F2, 33) (dual of [65553, 65295, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OOA(2257, 32768, F2, 2, 33) (dual of [(32768, 2), 65279, 34]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2257, 21845, F2, 3, 33) (dual of [(21845, 3), 65278, 34]-NRT-code) | [i] | ||
| 4 | Linear OOA(2257, 16384, F2, 4, 33) (dual of [(16384, 4), 65279, 34]-NRT-code) | [i] | ||
| 5 | Linear OOA(2257, 13107, F2, 5, 33) (dual of [(13107, 5), 65278, 34]-NRT-code) | [i] | ||
| 6 | Linear OOA(2257, 10922, F2, 6, 33) (dual of [(10922, 6), 65275, 34]-NRT-code) | [i] | ||
| 7 | Linear OOA(2257, 9362, F2, 7, 33) (dual of [(9362, 7), 65277, 34]-NRT-code) | [i] | ||
| 8 | Linear OOA(2257, 8192, F2, 8, 33) (dual of [(8192, 8), 65279, 34]-NRT-code) | [i] | ||