Information on Result #671123
Linear OA(12856, 482, F128, 29) (dual of [482, 426, 30]-code), using (u, u+v)-construction based on
- linear OA(12818, 194, F128, 14) (dual of [194, 176, 15]-code), using
- construction X applied to AG(F,176P) ⊂ AG(F,178P) [i] based on
- linear OA(12817, 191, F128, 14) (dual of [191, 174, 15]-code), using algebraic-geometric code AG(F,176P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OA(12815, 191, F128, 12) (dual of [191, 176, 13]-code), using algebraic-geometric code AG(F,178P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192 (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,176P) ⊂ AG(F,178P) [i] based on
- linear OA(12838, 288, F128, 29) (dual of [288, 250, 30]-code), using
- extended algebraic-geometric code AGe(F,258P) [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(12856, 241, F128, 2, 29) (dual of [(241, 2), 426, 30]-NRT-code) | [i] | OOA Folding | |