Information on Result #655865
Linear OA(8168, 396, F81, 39) (dual of [396, 328, 40]-code), using construction X applied to AG(F,329P) ⊂ AG(F,343P) based on
- linear OA(8155, 369, F81, 39) (dual of [369, 314, 40]-code), using algebraic-geometric code AG(F,329P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8141, 369, F81, 25) (dual of [369, 328, 26]-code), using algebraic-geometric code AG(F,343P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(8113, 27, F81, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,81)), using
- discarding factors / shortening the dual code based on linear OA(8113, 81, F81, 13) (dual of [81, 68, 14]-code or 81-arc in PG(12,81)), using
- Reed–Solomon code RS(68,81) [i]
- discarding factors / shortening the dual code based on linear OA(8113, 81, F81, 13) (dual of [81, 68, 14]-code or 81-arc in PG(12,81)), 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(8168, 198, F81, 2, 39) (dual of [(198, 2), 328, 40]-NRT-code) | [i] | OOA Folding | |