Information on Result #655363
Linear OA(8144, 226, F81, 30) (dual of [226, 182, 31]-code), using construction X applied to AG(F,192P) ⊂ AG(F,194P) based on
- linear OA(8143, 223, F81, 30) (dual of [223, 180, 31]-code), using algebraic-geometric code AG(F,192P) [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
- linear OA(8141, 223, F81, 28) (dual of [223, 182, 29]-code), using algebraic-geometric code AG(F,194P) [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224 (see above)
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(8144, 113, F81, 2, 30) (dual of [(113, 2), 182, 31]-NRT-code) | [i] | OOA Folding | |