Information on Result #642522
Linear OA(27110, 123, F27, 90) (dual of [123, 13, 91]-code), using juxtaposition based on
- linear OA(2734, 47, F27, 32) (dual of [47, 13, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(2734, 48, F27, 32) (dual of [48, 14, 33]-code), using
- extended algebraic-geometric code AGe(F,15P) [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(2734, 48, F27, 32) (dual of [48, 14, 33]-code), using
- linear OA(2763, 76, F27, 57) (dual of [76, 13, 58]-code), using
- extended algebraic-geometric code AGe(F,18P) [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, 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 OA(27108, 121, F27, 88) (dual of [121, 13, 89]-code) | [i] | Truncation | |
| 2 | Linear OA(27106, 119, F27, 86) (dual of [119, 13, 87]-code) | [i] | ||
| 3 | Linear OA(27104, 117, F27, 84) (dual of [117, 13, 85]-code) | [i] | ||
| 4 | Linear OOA(27110, 61, F27, 2, 90) (dual of [(61, 2), 12, 91]-NRT-code) | [i] | OOA Folding | |