Information on Result #655821
Linear OA(8172, 392, F81, 45) (dual of [392, 320, 46]-code), using construction X applied to AG(F,323P) ⊂ AG(F,335P) based on
- linear OA(8161, 369, F81, 45) (dual of [369, 308, 46]-code), using algebraic-geometric code AG(F,323P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8149, 369, F81, 33) (dual of [369, 320, 34]-code), using algebraic-geometric code AG(F,335P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(8111, 23, F81, 11) (dual of [23, 12, 12]-code or 23-arc in PG(10,81)), using
- discarding factors / shortening the dual code based on linear OA(8111, 81, F81, 11) (dual of [81, 70, 12]-code or 81-arc in PG(10,81)), using
- Reed–Solomon code RS(70,81) [i]
- discarding factors / shortening the dual code based on linear OA(8111, 81, F81, 11) (dual of [81, 70, 12]-code or 81-arc in PG(10,81)), 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, 784, F9, 45) (dual of [784, 640, 46]-code) | [i] | Trace Code | |
| 2 | Linear OOA(8172, 196, F81, 2, 45) (dual of [(196, 2), 320, 46]-NRT-code) | [i] | OOA Folding | |