Information on Result #652242
Linear OA(32103, 142, F32, 81) (dual of [142, 39, 82]-code), using construction X applied to AG(F,37P) ⊂ AG(F,49P) based on
- linear OA(3292, 119, F32, 81) (dual of [119, 27, 82]-code), using algebraic-geometric code AG(F,37P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3280, 119, F32, 69) (dual of [119, 39, 70]-code), using algebraic-geometric code AG(F,49P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(3211, 23, F32, 11) (dual of [23, 12, 12]-code or 23-arc in PG(10,32)), using
- discarding factors / shortening the dual code based on linear OA(3211, 32, F32, 11) (dual of [32, 21, 12]-code or 32-arc in PG(10,32)), using
- Reed–Solomon code RS(21,32) [i]
- discarding factors / shortening the dual code based on linear OA(3211, 32, F32, 11) (dual of [32, 21, 12]-code or 32-arc in PG(10,32)), 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(32103, 71, F32, 2, 81) (dual of [(71, 2), 39, 82]-NRT-code) | [i] | OOA Folding | |