Information on Result #642493
Linear OA(27110, 127, F27, 86) (dual of [127, 17, 87]-code), using juxtaposition based on
- linear OA(2746, 63, F27, 42) (dual of [63, 17, 43]-code), using
- discarding factors / shortening the dual code based on linear OA(2746, 64, F27, 42) (dual of [64, 18, 43]-code), using
- extended algebraic-geometric code AGe(F,21P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(2746, 64, F27, 42) (dual of [64, 18, 43]-code), using
- linear OA(2747, 64, F27, 43) (dual of [64, 17, 44]-code), using
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64 (see above)
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 OA(27108, 125, F27, 84) (dual of [125, 17, 85]-code) | [i] | Truncation | |
| 2 | Linear OA(27106, 123, F27, 82) (dual of [123, 17, 83]-code) | [i] | ||
| 3 | Linear OOA(27110, 63, F27, 2, 86) (dual of [(63, 2), 16, 87]-NRT-code) | [i] | OOA Folding | |