Information on Result #733216
Linear OA(27104, 19750, F27, 30) (dual of [19750, 19646, 31]-code), using (u, u+v)-construction based on
- linear OA(2719, 64, F27, 15) (dual of [64, 45, 16]-code), using
- extended algebraic-geometric code AGe(F,48P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- linear OA(2785, 19686, F27, 30) (dual of [19686, 19601, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(2785, 19683, F27, 30) (dual of [19683, 19598, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
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(27104, 9875, F27, 2, 30) (dual of [(9875, 2), 19646, 31]-NRT-code) | [i] | OOA Folding | |