Information on Result #652339
Linear OA(3267, 144, F32, 44) (dual of [144, 77, 45]-code), using construction X applied to AG(F,74P) ⊂ AG(F,87P) based on
- linear OA(3255, 119, F32, 44) (dual of [119, 64, 45]-code), using algebraic-geometric code AG(F,74P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3242, 119, F32, 31) (dual of [119, 77, 32]-code), using algebraic-geometric code AG(F,87P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(3212, 25, F32, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,32)), using
- discarding factors / shortening the dual code based on linear OA(3212, 32, F32, 12) (dual of [32, 20, 13]-code or 32-arc in PG(11,32)), using
- Reed–Solomon code RS(20,32) [i]
- discarding factors / shortening the dual code based on linear OA(3212, 32, F32, 12) (dual of [32, 20, 13]-code or 32-arc in PG(11,32)), 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(3267, 72, F32, 2, 44) (dual of [(72, 2), 77, 45]-NRT-code) | [i] | OOA Folding | |