Information on Result #695330
Linear OA(2799, 19739, F27, 29) (dual of [19739, 19640, 30]-code), using construction X applied to Ce(28) ⊂ Ce(14) based on
- linear OA(2782, 19683, F27, 29) (dual of [19683, 19601, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2743, 19683, F27, 15) (dual of [19683, 19640, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(2799, 9869, F27, 2, 29) (dual of [(9869, 2), 19639, 30]-NRT-code) | [i] | OOA Folding | |