Information on Result #695300
Linear OA(27107, 19729, F27, 33) (dual of [19729, 19622, 34]-code), using construction X applied to Ce(32) ⊂ Ce(20) based on
- linear OA(2794, 19683, F27, 33) (dual of [19683, 19589, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2761, 19683, F27, 21) (dual of [19683, 19622, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2713, 46, F27, 11) (dual of [46, 33, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2713, 48, F27, 11) (dual of [48, 35, 12]-code), using
- extended algebraic-geometric code AGe(F,36P) [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(2713, 48, F27, 11) (dual of [48, 35, 12]-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(27107, 9864, F27, 2, 33) (dual of [(9864, 2), 19621, 34]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(27107, 1233, F27, 33, 33) (dual of [(1233, 33), 40582, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |