Information on Result #619513
Linear OA(12810, 2097152, F128, 4) (dual of [2097152, 2097142, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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(12812, 2097281, F128, 4) (dual of [2097281, 2097269, 5]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12813, 2097155, F128, 5) (dual of [2097155, 2097142, 6]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(12810, 2097155, F128, 4) (dual of [2097155, 2097145, 5]-code) | [i] | ✔ | |
| 4 | Linear OA(12817, 2097159, F128, 6) (dual of [2097159, 2097142, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(12811, 2097159, F128, 4) (dual of [2097159, 2097148, 5]-code) | [i] | ✔ | |
| 6 | Linear OA(12821, 2097163, F128, 7) (dual of [2097163, 2097142, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(12825, 2097167, F128, 8) (dual of [2097167, 2097142, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(12817, 2097160, F128, 6) (dual of [2097160, 2097143, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(12811, 2097160, F128, 4) (dual of [2097160, 2097149, 5]-code) | [i] | ✔ | |