Information on Result #695332
Linear OA(2791, 19735, F27, 26) (dual of [19735, 19644, 27]-code), using construction X applied to Ce(25) ⊂ Ce(12) based on
- linear OA(2776, 19683, F27, 26) (dual of [19683, 19607, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2737, 19683, F27, 13) (dual of [19683, 19646, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- 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
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(2791, 9867, F27, 2, 26) (dual of [(9867, 2), 19643, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2791, 1518, F27, 26, 26) (dual of [(1518, 26), 39377, 27]-NRT-code) | [i] | OA Folding and Stacking | |