Information on Result #655905
Linear OA(8182, 404, F81, 49) (dual of [404, 322, 50]-code), using construction X applied to AG(F,319P) ⊂ AG(F,337P) based on
- linear OA(8165, 369, F81, 49) (dual of [369, 304, 50]-code), using algebraic-geometric code AG(F,319P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8147, 369, F81, 31) (dual of [369, 322, 32]-code), using algebraic-geometric code AG(F,337P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(8117, 35, F81, 17) (dual of [35, 18, 18]-code or 35-arc in PG(16,81)), using
- discarding factors / shortening the dual code based on linear OA(8117, 81, F81, 17) (dual of [81, 64, 18]-code or 81-arc in PG(16,81)), using
- Reed–Solomon code RS(64,81) [i]
- discarding factors / shortening the dual code based on linear OA(8117, 81, F81, 17) (dual of [81, 64, 18]-code or 81-arc in PG(16,81)), 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(8182, 202, F81, 2, 49) (dual of [(202, 2), 322, 50]-NRT-code) | [i] | OOA Folding | |