Information on Result #613551
Linear OA(528, 1953125, F5, 4) (dual of [1953125, 1953097, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, 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(530, 1953131, F5, 4) (dual of [1953131, 1953101, 5]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(538, 1953135, F5, 6) (dual of [1953135, 1953097, 7]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(528, 1953134, F5, 4) (dual of [1953134, 1953106, 5]-code) | [i] | ✔ | |
| 4 | Linear OA(549, 1953146, F5, 7) (dual of [1953146, 1953097, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(529, 1953144, F5, 4) (dual of [1953144, 1953115, 5]-code) | [i] | ✔ | |
| 6 | Linear OA(559, 1953151, F5, 8) (dual of [1953151, 1953092, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(560, 1953157, F5, 8) (dual of [1953157, 1953097, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(538, 1953136, F5, 6) (dual of [1953136, 1953098, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(529, 1953136, F5, 4) (dual of [1953136, 1953107, 5]-code) | [i] | ✔ | |
| 10 | Linear OA(529, 1953145, F5, 4) (dual of [1953145, 1953116, 5]-code) | [i] | ✔ | |