Information on Result #671124
Linear OA(12871, 16514, F128, 29) (dual of [16514, 16443, 30]-code), using (u, u+v)-construction based on
- linear OA(12814, 129, F128, 14) (dual of [129, 115, 15]-code or 129-arc in PG(13,128)), using
- extended Reed–Solomon code RSe(115,128) [i]
- linear OA(12857, 16385, F128, 29) (dual of [16385, 16328, 30]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
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(12871, 8257, F128, 2, 29) (dual of [(8257, 2), 16443, 30]-NRT-code) | [i] | OOA Folding | |