Information on Result #699716
Linear OA(12819, 2097152, F128, 7) (dual of [2097152, 2097133, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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(12822, 2097155, F128, 8) (dual of [2097155, 2097133, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(12819, 2097155, F128, 7) (dual of [2097155, 2097136, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(12830, 2097163, F128, 10) (dual of [2097163, 2097133, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(12821, 2097163, F128, 7) (dual of [2097163, 2097142, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(12838, 2097171, F128, 12) (dual of [2097171, 2097133, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(12846, 2097179, F128, 14) (dual of [2097179, 2097133, 15]-code) | [i] | ✔ | |