Information on Result #655400
Linear OA(8167, 228, F81, 52) (dual of [228, 161, 53]-code), using construction X applied to AG(F,170P) ⊂ AG(F,173P) based on
- linear OA(8165, 223, F81, 52) (dual of [223, 158, 53]-code), using algebraic-geometric code AG(F,170P) [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
- linear OA(8162, 223, F81, 49) (dual of [223, 161, 50]-code), using algebraic-geometric code AG(F,173P) [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224 (see above)
- linear OA(812, 5, F81, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,81)), using
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), using
- Reed–Solomon code RS(79,81) [i]
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), 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(9134, 456, F9, 52) (dual of [456, 322, 53]-code) | [i] | Trace Code | |
| 2 | Linear OOA(8167, 114, F81, 2, 52) (dual of [(114, 2), 161, 53]-NRT-code) | [i] | OOA Folding | |