Information on Result #655913
Linear OA(8181, 406, F81, 47) (dual of [406, 325, 48]-code), using construction X applied to AG(F,321P) ⊂ AG(F,340P) based on
- linear OA(8163, 369, F81, 47) (dual of [369, 306, 48]-code), using algebraic-geometric code AG(F,321P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8144, 369, F81, 28) (dual of [369, 325, 29]-code), using algebraic-geometric code AG(F,340P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(8118, 37, F81, 18) (dual of [37, 19, 19]-code or 37-arc in PG(17,81)), using
- discarding factors / shortening the dual code based on linear OA(8118, 81, F81, 18) (dual of [81, 63, 19]-code or 81-arc in PG(17,81)), using
- Reed–Solomon code RS(63,81) [i]
- discarding factors / shortening the dual code based on linear OA(8118, 81, F81, 18) (dual of [81, 63, 19]-code or 81-arc in PG(17,81)), 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, 203, F81, 2, 47) (dual of [(203, 2), 325, 48]-NRT-code) | [i] | OOA Folding | |