Information on Result #936306
Linear OOA(6486, 189, F64, 2, 66) (dual of [(189, 2), 292, 67]-NRT-code), using construction X applied to AG(2;F,285P) ⊂ AG(2;F,299P) based on
- linear OOA(6473, 176, F64, 2, 66) (dual of [(176, 2), 279, 67]-NRT-code), using algebraic-geometric NRT-code AG(2;F,285P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6459, 176, F64, 2, 52) (dual of [(176, 2), 293, 53]-NRT-code), using algebraic-geometric NRT-code AG(2;F,299P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(6413, 13, F64, 2, 13) (dual of [(13, 2), 13, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6413, 64, F64, 2, 13) (dual of [(64, 2), 115, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(2;115,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6413, 64, F64, 2, 13) (dual of [(64, 2), 115, 14]-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(4258, 567, F4, 2, 66) (dual of [(567, 2), 876, 67]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(8172, 378, F8, 2, 66) (dual of [(378, 2), 584, 67]-NRT-code) | [i] | ||