Information on Result #655842
Linear OA(8172, 394, F81, 44) (dual of [394, 322, 45]-code), using construction X applied to AG(F,324P) ⊂ AG(F,337P) based on
- linear OA(8160, 369, F81, 44) (dual of [369, 309, 45]-code), using algebraic-geometric code AG(F,324P) [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(8112, 25, F81, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,81)), using
- discarding factors / shortening the dual code based on linear OA(8112, 81, F81, 12) (dual of [81, 69, 13]-code or 81-arc in PG(11,81)), using
- Reed–Solomon code RS(69,81) [i]
- discarding factors / shortening the dual code based on linear OA(8112, 81, F81, 12) (dual of [81, 69, 13]-code or 81-arc in PG(11,81)), 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 OA(9144, 788, F9, 44) (dual of [788, 644, 45]-code) | [i] | Trace Code | |
| 2 | Linear OOA(8172, 197, F81, 2, 44) (dual of [(197, 2), 322, 45]-NRT-code) | [i] | OOA Folding | |