Information on Result #936503
Linear OOA(6486, 195, F64, 2, 60) (dual of [(195, 2), 304, 61]-NRT-code), using construction X applied to AG(2;F,291P) ⊂ AG(2;F,311P) based on
- linear OOA(6467, 176, F64, 2, 60) (dual of [(176, 2), 285, 61]-NRT-code), using algebraic-geometric NRT-code AG(2;F,291P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6447, 176, F64, 2, 40) (dual of [(176, 2), 305, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,311P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(6419, 19, F64, 2, 19) (dual of [(19, 2), 19, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6419, 64, F64, 2, 19) (dual of [(64, 2), 109, 20]-NRT-code), using
- Reed–Solomon NRT-code RS(2;109,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6419, 64, F64, 2, 19) (dual of [(64, 2), 109, 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(8172, 390, F8, 2, 60) (dual of [(390, 2), 608, 61]-NRT-code) | [i] | Trace Code for OOAs | |