Information on Result #737605
Linear OA(588, 3153, F5, 21) (dual of [3153, 3065, 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, 27, F5, 5) (dual of [27, 20, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 28, F5, 5) (dual of [28, 21, 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 OA(589, 3154, F5, 21) (dual of [3154, 3065, 22]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(588, 1576, F5, 2, 21) (dual of [(1576, 2), 3064, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(588, 1051, F5, 3, 21) (dual of [(1051, 3), 3065, 22]-NRT-code) | [i] | ||