Information on Result #649711
Linear OA(27103, 136, F27, 71) (dual of [136, 33, 72]-code), using construction X applied to AG(F,21P) ⊂ AG(F,42P) based on
- linear OA(2781, 93, F27, 71) (dual of [93, 12, 72]-code), using algebraic-geometric code AG(F,21P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2760, 93, F27, 50) (dual of [93, 33, 51]-code), using algebraic-geometric code AG(F,42P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(2722, 43, F27, 20) (dual of [43, 21, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2722, 48, F27, 20) (dual of [48, 26, 21]-code), using
- extended algebraic-geometric code AGe(F,27P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- discarding factors / shortening the dual code based on linear OA(2722, 48, F27, 20) (dual of [48, 26, 21]-code), 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(27103, 68, F27, 2, 71) (dual of [(68, 2), 33, 72]-NRT-code) | [i] | OOA Folding | |