Information on Result #655798
Linear OA(8172, 390, F81, 46) (dual of [390, 318, 47]-code), using construction X applied to AG(F,322P) ⊂ AG(F,333P) based on
- linear OA(8162, 369, F81, 46) (dual of [369, 307, 47]-code), using algebraic-geometric code AG(F,322P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8151, 369, F81, 35) (dual of [369, 318, 36]-code), using algebraic-geometric code AG(F,333P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(8110, 21, F81, 10) (dual of [21, 11, 11]-code or 21-arc in PG(9,81)), using
- discarding factors / shortening the dual code based on linear OA(8110, 81, F81, 10) (dual of [81, 71, 11]-code or 81-arc in PG(9,81)), using
- Reed–Solomon code RS(71,81) [i]
- discarding factors / shortening the dual code based on linear OA(8110, 81, F81, 10) (dual of [81, 71, 11]-code or 81-arc in PG(9,81)), 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, 780, F9, 46) (dual of [780, 636, 47]-code) | [i] | Trace Code | |
| 2 | Linear OOA(8172, 195, F81, 2, 46) (dual of [(195, 2), 318, 47]-NRT-code) | [i] | OOA Folding | |