Information on Result #672665
Linear OA(2253, 16384, F2, 37) (dual of [16384, 16131, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37
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(2254, 16399, F2, 37) (dual of [16399, 16145, 38]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OOA(2253, 8192, F2, 2, 37) (dual of [(8192, 2), 16131, 38]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2253, 5461, F2, 3, 37) (dual of [(5461, 3), 16130, 38]-NRT-code) | [i] | ||
| 4 | Linear OOA(2253, 4096, F2, 4, 37) (dual of [(4096, 4), 16131, 38]-NRT-code) | [i] | ||
| 5 | Linear OOA(2253, 2730, F2, 6, 37) (dual of [(2730, 6), 16127, 38]-NRT-code) | [i] | ||
| 6 | Linear OOA(2253, 2340, F2, 7, 37) (dual of [(2340, 7), 16127, 38]-NRT-code) | [i] | ||
| 7 | Linear OOA(2253, 2048, F2, 8, 37) (dual of [(2048, 8), 16131, 38]-NRT-code) | [i] | ||
| 8 | Linear OOA(2253, 910, F2, 37, 37) (dual of [(910, 37), 33417, 38]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |