Information on Result #652144
Linear OA(3270, 138, F32, 50) (dual of [138, 68, 51]-code), using construction X applied to AG(F,68P) ⊂ AG(F,78P) based on
- linear OA(3261, 119, F32, 50) (dual of [119, 58, 51]-code), using algebraic-geometric code AG(F,68P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3251, 119, F32, 40) (dual of [119, 68, 41]-code), using algebraic-geometric code AG(F,78P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(329, 19, F32, 9) (dual of [19, 10, 10]-code or 19-arc in PG(8,32)), using
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), using
- Reed–Solomon code RS(23,32) [i]
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), 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(3270, 69, F32, 2, 50) (dual of [(69, 2), 68, 51]-NRT-code) | [i] | OOA Folding | |