Information on Result #904819
Linear OOA(12839, 4202429, F128, 2, 9) (dual of [(4202429, 2), 8404819, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1286, 8128, F128, 2, 4) (dual of [(8128, 2), 16250, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1286, 16256, F128, 4) (dual of [16256, 16250, 5]-code), using
- 1 times truncation [i] based on linear OA(1287, 16257, F128, 5) (dual of [16257, 16250, 6]-code), using
- OOA 2-folding [i] based on linear OA(1286, 16256, F128, 4) (dual of [16256, 16250, 5]-code), using
- linear OOA(12833, 4194301, F128, 2, 9) (dual of [(4194301, 2), 8388569, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12833, 8388602, F128, 9) (dual of [8388602, 8388569, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(12833, large, F128, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(12833, large, F128, 9) (dual of [large, large−33, 10]-code), using
- OOA 2-folding [i] based on linear OA(12833, 8388602, F128, 9) (dual of [8388602, 8388569, 10]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(12839, 2101214, F128, 4, 9) (dual of [(2101214, 4), 8404817, 10]-NRT-code) | [i] | OOA Folding | |