Information on Result #672524
Linear OA(2129, 65536, F2, 17) (dual of [65536, 65407, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, 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(2146, 65553, F2, 19) (dual of [65553, 65407, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2130, 65553, F2, 17) (dual of [65553, 65423, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(2130, 65554, F2, 17) (dual of [65554, 65424, 18]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 4 | Linear OOA(2129, 32768, F2, 2, 17) (dual of [(32768, 2), 65407, 18]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2129, 21845, F2, 3, 17) (dual of [(21845, 3), 65406, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(2129, 16384, F2, 4, 17) (dual of [(16384, 4), 65407, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(2129, 13107, F2, 5, 17) (dual of [(13107, 5), 65406, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(2129, 10922, F2, 6, 17) (dual of [(10922, 6), 65403, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(2129, 9362, F2, 7, 17) (dual of [(9362, 7), 65405, 18]-NRT-code) | [i] | ||
| 10 | Linear OOA(2129, 8192, F2, 8, 17) (dual of [(8192, 8), 65407, 18]-NRT-code) | [i] | ||