Information on Result #651932
Linear OA(3270, 132, F32, 53) (dual of [132, 62, 54]-code), using construction X applied to AG(F,65P) ⊂ AG(F,72P) based on
- linear OA(3264, 119, F32, 53) (dual of [119, 55, 54]-code), using algebraic-geometric code AG(F,65P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3257, 119, F32, 46) (dual of [119, 62, 47]-code), using algebraic-geometric code AG(F,72P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(326, 13, F32, 6) (dual of [13, 7, 7]-code or 13-arc in PG(5,32)), using
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
- Reed–Solomon code RS(26,32) [i]
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), 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 | OA(1688, 132, S16, 53) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(3270, 66, F32, 2, 53) (dual of [(66, 2), 62, 54]-NRT-code) | [i] | OOA Folding | |