Information on Result #682910
Linear OA(588, 3147, F5, 21) (dual of [3147, 3059, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,7]) based on
- linear OA(581, 3126, F5, 21) (dual of [3126, 3045, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(561, 3126, F5, 15) (dual of [3126, 3065, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-code), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(588, 3133, F5, 2, 21) (dual of [(3133, 2), 6178, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(588, 3133, F5, 3, 21) (dual of [(3133, 3), 9311, 22]-NRT-code) | [i] | ||
| 3 | Digital (67, 88, 3133)-net over F5 | [i] | ||