Information on Result #670941
Linear OA(12878, 506, F128, 42) (dual of [506, 428, 43]-code), using (u, u+v)-construction based on
- linear OA(12827, 218, F128, 21) (dual of [218, 191, 22]-code), using
- construction X applied to AG(F,193P) ⊂ AG(F,195P) [i] based on
- linear OA(12826, 215, F128, 21) (dual of [215, 189, 22]-code), using algebraic-geometric code AG(F,193P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- linear OA(12824, 215, F128, 19) (dual of [215, 191, 20]-code), using algebraic-geometric code AG(F,195P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216 (see above)
- linear OA(1281, 3, F128, 1) (dual of [3, 2, 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 AG(F,193P) ⊂ AG(F,195P) [i] based on
- linear OA(12851, 288, F128, 42) (dual of [288, 237, 43]-code), using
- extended algebraic-geometric code AGe(F,245P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, 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(12878, 253, F128, 2, 42) (dual of [(253, 2), 428, 43]-NRT-code) | [i] | OOA Folding | |