Information on Result #655193
Linear OA(8164, 180, F81, 53) (dual of [180, 116, 54]-code), using construction X applied to AG(F,117P) ⊂ AG(F,122P) based on
- linear OA(8160, 171, F81, 53) (dual of [171, 111, 54]-code), using algebraic-geometric code AG(F,117P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OA(8155, 171, F81, 48) (dual of [171, 116, 49]-code), using algebraic-geometric code AG(F,122P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (see above)
- linear OA(814, 9, F81, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,81)), using
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
- Reed–Solomon code RS(77,81) [i]
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), 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(8164, 90, F81, 2, 53) (dual of [(90, 2), 116, 54]-NRT-code) | [i] | OOA Folding | |