Information on Result #610907
Linear OA(246, 32768, F2, 7) (dual of [32768, 32722, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, 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(245, 32767, F2, 6) (dual of [32767, 32722, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(262, 32784, F2, 9) (dual of [32784, 32722, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(247, 32784, F2, 7) (dual of [32784, 32737, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(262, 32785, F2, 9) (dual of [32785, 32723, 10]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(247, 32785, F2, 7) (dual of [32785, 32738, 8]-code) | [i] | ✔ | |
| 6 | Linear OOA(246, 16384, F2, 2, 7) (dual of [(16384, 2), 32722, 8]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(246, 10922, F2, 3, 7) (dual of [(10922, 3), 32720, 8]-NRT-code) | [i] | ||