Information on Result #655897
Linear OA(8181, 402, F81, 49) (dual of [402, 321, 50]-code), using construction X applied to AG(F,319P) ⊂ AG(F,336P) 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(8148, 369, F81, 32) (dual of [369, 321, 33]-code), using algebraic-geometric code AG(F,336P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(8116, 33, F81, 16) (dual of [33, 17, 17]-code or 33-arc in PG(15,81)), using
- discarding factors / shortening the dual code based on linear OA(8116, 81, F81, 16) (dual of [81, 65, 17]-code or 81-arc in PG(15,81)), using
- Reed–Solomon code RS(65,81) [i]
- discarding factors / shortening the dual code based on linear OA(8116, 81, F81, 16) (dual of [81, 65, 17]-code or 81-arc in PG(15,81)), 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(8181, 201, F81, 2, 49) (dual of [(201, 2), 321, 50]-NRT-code) | [i] | OOA Folding | |