Information on Result #695312
Linear OA(27109, 19734, F27, 33) (dual of [19734, 19625, 34]-code), using construction X applied to Ce(32) ⊂ Ce(19) 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(2758, 19683, F27, 20) (dual of [19683, 19625, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2715, 51, F27, 12) (dual of [51, 36, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2715, 52, F27, 12) (dual of [52, 37, 13]-code), using
- extended algebraic-geometric code AGe(F,39P) [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OA(2715, 52, F27, 12) (dual of [52, 37, 13]-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 OA(27110, 19735, F27, 33) (dual of [19735, 19625, 34]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(27109, 9867, F27, 2, 33) (dual of [(9867, 2), 19625, 34]-NRT-code) | [i] | OOA Folding | |