Information on Result #611361
Linear OA(2256, 32768, F2, 35) (dual of [32768, 32512, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35
Mode: Constructive and linear.
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(2255, 32767, F2, 34) (dual of [32767, 32512, 35]-code) | [i] | Truncation | |
| 2 | Linear OA(2257, 32784, F2, 35) (dual of [32784, 32527, 36]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OOA(2256, 16384, F2, 2, 35) (dual of [(16384, 2), 32512, 36]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2256, 10922, F2, 3, 35) (dual of [(10922, 3), 32510, 36]-NRT-code) | [i] | ||
| 5 | Linear OOA(2256, 8192, F2, 4, 35) (dual of [(8192, 4), 32512, 36]-NRT-code) | [i] | ||
| 6 | Linear OOA(2256, 6553, F2, 5, 35) (dual of [(6553, 5), 32509, 36]-NRT-code) | [i] | ||
| 7 | Linear OOA(2256, 5461, F2, 6, 35) (dual of [(5461, 6), 32510, 36]-NRT-code) | [i] | ||
| 8 | Linear OOA(2256, 4681, F2, 7, 35) (dual of [(4681, 7), 32511, 36]-NRT-code) | [i] | ||
| 9 | Linear OOA(2256, 4096, F2, 8, 35) (dual of [(4096, 8), 32512, 36]-NRT-code) | [i] | ||
| 10 | Linear OOA(2256, 1927, F2, 35, 35) (dual of [(1927, 35), 67189, 36]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |