Information on Result #641075
Linear OA(4257, 264, F4, 189) (dual of [264, 7, 190]-code), using juxtaposition based on
- linear OA(41, 8, F4, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(4249, 256, F4, 187) (dual of [256, 7, 188]-code), using
- an extension Ce(186) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,186], and designed minimum distance d ≥ |I|+1 = 187 [i]
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, 264, F4, 188) (dual of [264, 7, 189]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4257, 264, F4, 187) (dual of [264, 7, 188]-code) | [i] | ||
| 3 | Linear OA(4257, 264, F4, 186) (dual of [264, 7, 187]-code) | [i] | ||
| 4 | Linear OA(4257, 264, F4, 185) (dual of [264, 7, 186]-code) | [i] | ||