Information on Result #937552
Linear OOA(12826, 218, F128, 2, 18) (dual of [(218, 2), 410, 19]-NRT-code), using construction X applied to AG(2;F,411P) ⊂ AG(2;F,415P) based on
- linear OOA(12823, 215, F128, 2, 18) (dual of [(215, 2), 407, 19]-NRT-code), using algebraic-geometric NRT-code AG(2;F,411P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- linear OOA(12819, 215, F128, 2, 14) (dual of [(215, 2), 411, 15]-NRT-code), using algebraic-geometric NRT-code AG(2;F,415P) [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
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(12872, 506, F128, 2, 37) (dual of [(506, 2), 940, 38]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |