Information on Result #937740
Linear OOA(12867, 293, F128, 2, 52) (dual of [(293, 2), 519, 53]-NRT-code), using construction X applied to AG(2;F,521P) ⊂ AG(2;F,528P) based on
- linear OOA(12861, 287, F128, 2, 52) (dual of [(287, 2), 513, 53]-NRT-code), using algebraic-geometric NRT-code AG(2;F,521P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12854, 287, F128, 2, 45) (dual of [(287, 2), 520, 46]-NRT-code), using algebraic-geometric NRT-code AG(2;F,528P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OOA(1286, 6, F128, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1286, 128, F128, 2, 6) (dual of [(128, 2), 250, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;250,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1286, 128, F128, 2, 6) (dual of [(128, 2), 250, 7]-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 | OOA(3294, 293, S32, 2, 52) | [i] | Discarding Parts of the Base for OOAs | |