Information on Result #655915
Linear OA(8179, 406, F81, 45) (dual of [406, 327, 46]-code), using construction X applied to AG(F,323P) ⊂ AG(F,342P) 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(8142, 369, F81, 26) (dual of [369, 327, 27]-code), using algebraic-geometric code AG(F,342P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(8118, 37, F81, 18) (dual of [37, 19, 19]-code or 37-arc in PG(17,81)), using
- discarding factors / shortening the dual code based on linear OA(8118, 81, F81, 18) (dual of [81, 63, 19]-code or 81-arc in PG(17,81)), using
- Reed–Solomon code RS(63,81) [i]
- discarding factors / shortening the dual code based on linear OA(8118, 81, F81, 18) (dual of [81, 63, 19]-code or 81-arc in PG(17,81)), 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(8179, 203, F81, 2, 45) (dual of [(203, 2), 327, 46]-NRT-code) | [i] | OOA Folding | |