Information on Result #695331
Linear OA(2796, 19739, F27, 28) (dual of [19739, 19643, 29]-code), using construction X applied to Ce(27) ⊂ Ce(13) based on
- linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2740, 19683, F27, 14) (dual of [19683, 19643, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2717, 56, F27, 13) (dual of [56, 39, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2717, 64, F27, 13) (dual of [64, 47, 14]-code), using
- extended algebraic-geometric code AGe(F,50P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(2717, 64, F27, 13) (dual of [64, 47, 14]-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(2796, 9869, F27, 2, 28) (dual of [(9869, 2), 19642, 29]-NRT-code) | [i] | OOA Folding | |