Information on Result #610908
Linear OA(249, 65536, F2, 7) (dual of [65536, 65487, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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(248, 65535, F2, 6) (dual of [65535, 65487, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(266, 65553, F2, 9) (dual of [65553, 65487, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(250, 65553, F2, 7) (dual of [65553, 65503, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(266, 65554, F2, 9) (dual of [65554, 65488, 10]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(250, 65554, F2, 7) (dual of [65554, 65504, 8]-code) | [i] | ✔ | |
| 6 | Linear OOA(249, 32768, F2, 2, 7) (dual of [(32768, 2), 65487, 8]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(249, 21845, F2, 3, 7) (dual of [(21845, 3), 65486, 8]-NRT-code) | [i] | ||