Information on Result #1046016
Linear OOA(6485, 181, F64, 3, 71) (dual of [(181, 3), 458, 72]-NRT-code), using construction X applied to AG(3;F,456P) ⊂ AG(3;F,464P) based on
- linear OOA(6478, 176, F64, 3, 71) (dual of [(176, 3), 450, 72]-NRT-code), using algebraic-geometric NRT-code AG(3;F,456P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6470, 176, F64, 3, 63) (dual of [(176, 3), 458, 64]-NRT-code), using algebraic-geometric NRT-code AG(3;F,464P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(647, 5, F64, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(647, 64, F64, 3, 7) (dual of [(64, 3), 185, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;185,64) [i]
- discarding factors / shortening the dual code based on linear OOA(647, 64, F64, 3, 7) (dual of [(64, 3), 185, 8]-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(6485, 181, F64, 3, 70) (dual of [(181, 3), 458, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4255, 543, F4, 3, 71) (dual of [(543, 3), 1374, 72]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(8170, 362, F8, 3, 71) (dual of [(362, 3), 916, 72]-NRT-code) | [i] | ||