Information on Result #905308
Linear OOA(12877, 8411, F128, 2, 29) (dual of [(8411, 2), 16745, 30]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12819, 216, F128, 2, 14) (dual of [(216, 2), 413, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,417P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- linear OOA(12858, 8195, F128, 2, 29) (dual of [(8195, 2), 16332, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12858, 16390, F128, 29) (dual of [16390, 16332, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,13]) [i] based on
- 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]
- linear OA(12853, 16385, F128, 27) (dual of [16385, 16332, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,14]) ⊂ C([0,13]) [i] based on
- OOA 2-folding [i] based on linear OA(12858, 16390, F128, 29) (dual of [16390, 16332, 30]-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(12877, 4205, F128, 4, 29) (dual of [(4205, 4), 16743, 30]-NRT-code) | [i] | OOA Folding | |