Information on Result #1046349
Linear OOA(6476, 189, F64, 3, 50) (dual of [(189, 3), 491, 51]-NRT-code), using construction X applied to AG(3;F,477P) ⊂ AG(3;F,497P) based on
- linear OOA(6457, 176, F64, 3, 50) (dual of [(176, 3), 471, 51]-NRT-code), using algebraic-geometric NRT-code AG(3;F,477P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6437, 176, F64, 3, 30) (dual of [(176, 3), 491, 31]-NRT-code), using algebraic-geometric NRT-code AG(3;F,497P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(6419, 13, F64, 3, 19) (dual of [(13, 3), 20, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6419, 64, F64, 3, 19) (dual of [(64, 3), 173, 20]-NRT-code), using
- Reed–Solomon NRT-code RS(3;173,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6419, 64, F64, 3, 19) (dual of [(64, 3), 173, 20]-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(6476, 189, F64, 3, 49) (dual of [(189, 3), 491, 50]-NRT-code) | [i] | Strength Reduction for OOAs | |