Information on Result #671368
Linear OA(12822, 279, F128, 14) (dual of [279, 257, 15]-code), using (u, u+v)-construction based on
- linear OA(1287, 129, F128, 7) (dual of [129, 122, 8]-code or 129-arc in PG(6,128)), using
- extended Reed–Solomon code RSe(122,128) [i]
- the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(12815, 150, F128, 14) (dual of [150, 135, 15]-code), using
- extended algebraic-geometric code AGe(F,135P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, 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(12877, 16663, F128, 28) (dual of [16663, 16586, 29]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12877, 16665, F128, 28) (dual of [16665, 16588, 29]-code) | [i] | ||
| 3 | Linear OOA(12822, 139, F128, 2, 14) (dual of [(139, 2), 256, 15]-NRT-code) | [i] | OOA Folding | |