Information on Result #678562
Linear OA(452, 65556, F4, 8) (dual of [65556, 65504, 9]-code), using construction X applied to C([0,4]) ⊂ C([0,2]) based on
- linear OA(449, 65537, F4, 9) (dual of [65537, 65488, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(433, 65537, F4, 5) (dual of [65537, 65504, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,2], and minimum distance d ≥ |{−4,−2,0,2,4}|+1 = 6 (BCH-bound) [i]
- linear OA(43, 19, F4, 2) (dual of [19, 16, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-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(452, 21852, F4, 3, 8) (dual of [(21852, 3), 65504, 9]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(452, 16389, F4, 8, 8) (dual of [(16389, 8), 131060, 9]-NRT-code) | [i] | OA Folding and Stacking | |