Information on Result #613168
Linear OA(4249, 65536, F4, 42) (dual of [65536, 65287, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42
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(4257, 65544, F4, 43) (dual of [65544, 65287, 44]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4249, 65544, F4, 42) (dual of [65544, 65295, 43]-code) | [i] | ✔ | |
| 3 | Linear OA(4252, 65555, F4, 42) (dual of [65555, 65303, 43]-code) | [i] | ✔ | |
| 4 | Linear OA(4254, 65565, F4, 42) (dual of [65565, 65311, 43]-code) | [i] | ✔ | |
| 5 | Linear OA(4256, 65575, F4, 42) (dual of [65575, 65319, 43]-code) | [i] | ✔ | |
| 6 | Linear OA(4251, 65547, F4, 42) (dual of [65547, 65296, 43]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(4253, 65557, F4, 42) (dual of [65557, 65304, 43]-code) | [i] | ✔ | |
| 8 | Linear OA(4255, 65567, F4, 42) (dual of [65567, 65312, 43]-code) | [i] | ✔ | |