Information on Result #613550
Linear OA(525, 390625, F5, 4) (dual of [390625, 390600, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, 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(534, 390634, F5, 6) (dual of [390634, 390600, 7]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(525, 390633, F5, 4) (dual of [390633, 390608, 5]-code) | [i] | ✔ | |
| 3 | Linear OA(544, 390644, F5, 7) (dual of [390644, 390600, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(553, 390651, F5, 8) (dual of [390651, 390598, 9]-code) | [i] | ✔ | |
| 5 | Linear OA(554, 390654, F5, 8) (dual of [390654, 390600, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(563, 390657, F5, 9) (dual of [390657, 390594, 10]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(562, 390655, F5, 9) (dual of [390655, 390593, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(534, 390635, F5, 6) (dual of [390635, 390601, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |