Information on Result #935950
Linear OOA(6484, 182, F64, 2, 71) (dual of [(182, 2), 280, 72]-NRT-code), using construction X applied to AG(2;F,280P) ⊂ AG(2;F,287P) based on
- linear OOA(6478, 176, F64, 2, 71) (dual of [(176, 2), 274, 72]-NRT-code), using algebraic-geometric NRT-code AG(2;F,280P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6471, 176, F64, 2, 64) (dual of [(176, 2), 281, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,287P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(646, 6, F64, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(646, 64, F64, 2, 6) (dual of [(64, 2), 122, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;122,64) [i]
- discarding factors / shortening the dual code based on linear OOA(646, 64, F64, 2, 6) (dual of [(64, 2), 122, 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(4252, 546, F4, 2, 71) (dual of [(546, 2), 840, 72]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(8168, 364, F8, 2, 71) (dual of [(364, 2), 560, 72]-NRT-code) | [i] | ||
| 3 | OOA(32101, 182, S32, 2, 71) | [i] | Discarding Parts of the Base for OOAs | |
| 4 | Linear OOA(6484, 91, F64, 3, 71) (dual of [(91, 3), 189, 72]-NRT-code) | [i] | OOA Folding | |