Information on Result #672596
Linear OA(2121, 32768, F2, 17) (dual of [32768, 32647, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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(2137, 32784, F2, 19) (dual of [32784, 32647, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2122, 32784, F2, 17) (dual of [32784, 32662, 18]-code) | [i] | ✔ | |
| 3 | Linear OOA(2121, 16384, F2, 2, 17) (dual of [(16384, 2), 32647, 18]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2121, 8192, F2, 4, 17) (dual of [(8192, 4), 32647, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(2121, 4096, F2, 8, 17) (dual of [(4096, 8), 32647, 18]-NRT-code) | [i] | ||