Information on Result #681971
Linear OA(447, 74, F4, 24) (dual of [74, 27, 25]-code), using construction X applied to C([1,77]) ⊂ C([1,62]) based on
- linear OA(443, 63, F4, 25) (dual of [63, 20, 26]-code), using contraction [i] based on linear OA(4169, 189, F4, 77) (dual of [189, 20, 78]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,77], and designed minimum distance d ≥ |I|+1 = 78 [i]
- linear OA(436, 63, F4, 20) (dual of [63, 27, 21]-code), using contraction [i] based on linear OA(4162, 189, F4, 62) (dual of [189, 27, 63]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(44, 11, F4, 3) (dual of [11, 7, 4]-code or 11-cap in PG(3,4)), using
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(447, 74, F4, 23) (dual of [74, 27, 24]-code) | [i] | Strength Reduction | |