Information on Result #1045998
Linear OOA(6444, 180, F64, 3, 31) (dual of [(180, 3), 496, 32]-NRT-code), using construction X applied to AG(3;F,496P) ⊂ AG(3;F,503P) based on
- linear OOA(6438, 176, F64, 3, 31) (dual of [(176, 3), 490, 32]-NRT-code), using algebraic-geometric NRT-code AG(3;F,496P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6431, 176, F64, 3, 24) (dual of [(176, 3), 497, 25]-NRT-code), using algebraic-geometric NRT-code AG(3;F,503P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(646, 4, F64, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(646, 64, F64, 3, 6) (dual of [(64, 3), 186, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;186,64) [i]
- discarding factors / shortening the dual code based on linear OOA(646, 64, F64, 3, 6) (dual of [(64, 3), 186, 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 | Linear OOA(888, 360, F8, 3, 31) (dual of [(360, 3), 992, 32]-NRT-code) | [i] | Trace Code for OOAs | |