Information on Result #937063
Linear OOA(8177, 373, F81, 2, 57) (dual of [(373, 2), 669, 58]-NRT-code), using construction X applied to AG(2;F,680P) ⊂ AG(2;F,685P) based on
- linear OOA(8173, 369, F81, 2, 57) (dual of [(369, 2), 665, 58]-NRT-code), using algebraic-geometric NRT-code AG(2;F,680P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8168, 369, F81, 2, 52) (dual of [(369, 2), 670, 53]-NRT-code), using algebraic-geometric NRT-code AG(2;F,685P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(814, 4, F81, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 2, 4) (dual of [(81, 2), 158, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;158,81) [i]
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 2, 4) (dual of [(81, 2), 158, 5]-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 | OOA(27103, 373, S27, 2, 57) | [i] | Discarding Parts of the Base for OOAs | |