Information on Result #941490
Linear OOA(12878, 506, F128, 2, 41) (dual of [(506, 2), 934, 42]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12828, 218, F128, 2, 20) (dual of [(218, 2), 408, 21]-NRT-code), using
- construction X applied to AG(2;F,409P) ⊂ AG(2;F,413P) [i] based on
- linear OOA(12825, 215, F128, 2, 20) (dual of [(215, 2), 405, 21]-NRT-code), using algebraic-geometric NRT-code AG(2;F,409P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- linear OOA(12821, 215, F128, 2, 16) (dual of [(215, 2), 409, 17]-NRT-code), using algebraic-geometric NRT-code AG(2;F,413P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216 (see above)
- linear OOA(1283, 3, F128, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1283, 128, F128, 2, 3) (dual of [(128, 2), 253, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;253,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1283, 128, F128, 2, 3) (dual of [(128, 2), 253, 4]-NRT-code), using
- construction X applied to AG(2;F,409P) ⊂ AG(2;F,413P) [i] based on
- linear OOA(12850, 288, F128, 2, 41) (dual of [(288, 2), 526, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,534P) [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, 4, 41) (dual of [(253, 4), 934, 42]-NRT-code) | [i] | OOA Folding | |