Information on Result #613907
Linear OA(5148, 78125, F5, 27) (dual of [78125, 77977, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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(5148, 78132, F5, 27) (dual of [78132, 77984, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(5150, 78135, F5, 27) (dual of [78135, 77985, 28]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |