Information on Result #695268
Linear OA(27107, 19720, F27, 34) (dual of [19720, 19613, 35]-code), using construction X applied to Ce(33) ⊂ Ce(23) based on
- linear OA(2797, 19683, F27, 34) (dual of [19683, 19586, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2770, 19683, F27, 24) (dual of [19683, 19613, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2710, 37, F27, 9) (dual of [37, 27, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2710, 38, F27, 9) (dual of [38, 28, 10]-code), using
- extended algebraic-geometric code AGe(F,28P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(2710, 38, F27, 9) (dual of [38, 28, 10]-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(27108, 19721, F27, 34) (dual of [19721, 19613, 35]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(27107, 9860, F27, 2, 34) (dual of [(9860, 2), 19613, 35]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(27107, 1160, F27, 34, 34) (dual of [(1160, 34), 39333, 35]-NRT-code) | [i] | OA Folding and Stacking | |