Information on Result #880427
Linear OOA(25664, 32780, F256, 2, 29) (dual of [(32780, 2), 65496, 30]-NRT-code), using OOA 2-folding based on linear OA(25664, 65560, F256, 29) (dual of [65560, 65496, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,10]) [i] based on
- linear OA(25657, 65537, F256, 29) (dual of [65537, 65480, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(25641, 65537, F256, 21) (dual of [65537, 65496, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(2567, 23, F256, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,256)), using
- discarding factors / shortening the dual code based on linear OA(2567, 256, F256, 7) (dual of [256, 249, 8]-code or 256-arc in PG(6,256)), using
- Reed–Solomon code RS(249,256) [i]
- discarding factors / shortening the dual code based on linear OA(2567, 256, F256, 7) (dual of [256, 249, 8]-code or 256-arc in PG(6,256)), 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(25664, 22869, F256, 3, 29) (dual of [(22869, 3), 68543, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25664, 22869, F256, 4, 29) (dual of [(22869, 4), 91412, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(25664, 22869, F256, 5, 29) (dual of [(22869, 5), 114281, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(25664, 22869, F256, 6, 29) (dual of [(22869, 6), 137150, 30]-NRT-code) | [i] | ||
| 5 | Digital (35, 64, 22869)-net over F256 | [i] | ||