Information on Result #671063
Linear OA(12856, 386, F128, 33) (dual of [386, 330, 34]-code), using (u, u+v)-construction based on
- linear OA(12819, 192, F128, 16) (dual of [192, 173, 17]-code), using
- extended algebraic-geometric code AGe(F,175P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OA(12837, 194, F128, 33) (dual of [194, 157, 34]-code), using
- construction X applied to AG(F,157P) ⊂ AG(F,159P) [i] based on
- linear OA(12836, 191, F128, 33) (dual of [191, 155, 34]-code), using algebraic-geometric code AG(F,157P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192 (see above)
- linear OA(12834, 191, F128, 31) (dual of [191, 157, 32]-code), using algebraic-geometric code AG(F,159P) [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,157P) ⊂ AG(F,159P) [i] based on
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, 193, F128, 2, 33) (dual of [(193, 2), 330, 34]-NRT-code) | [i] | OOA Folding | |