Information on Result #655876
Linear OA(8174, 398, F81, 44) (dual of [398, 324, 45]-code), using construction X applied to AG(F,324P) ⊂ AG(F,339P) 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(8145, 369, F81, 29) (dual of [369, 324, 30]-code), using algebraic-geometric code AG(F,339P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(8114, 29, F81, 14) (dual of [29, 15, 15]-code or 29-arc in PG(13,81)), using
- discarding factors / shortening the dual code based on linear OA(8114, 81, F81, 14) (dual of [81, 67, 15]-code or 81-arc in PG(13,81)), using
- Reed–Solomon code RS(67,81) [i]
- discarding factors / shortening the dual code based on linear OA(8114, 81, F81, 14) (dual of [81, 67, 15]-code or 81-arc in PG(13,81)), 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(9148, 796, F9, 44) (dual of [796, 648, 45]-code) | [i] | Trace Code | |
| 2 | Linear OOA(8174, 199, F81, 2, 44) (dual of [(199, 2), 324, 45]-NRT-code) | [i] | OOA Folding | |