Information on Result #866631
Linear OOA(27103, 9858, F27, 2, 33) (dual of [(9858, 2), 19613, 34]-NRT-code), using OOA 2-folding based on linear OA(27103, 19716, F27, 33) (dual of [19716, 19613, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(23) [i] based on
- linear OA(2794, 19683, F27, 33) (dual of [19683, 19589, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(279, 33, F27, 8) (dual of [33, 24, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(279, 38, F27, 8) (dual of [38, 29, 9]-code), using
- extended algebraic-geometric code AGe(F,29P) [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(279, 38, F27, 8) (dual of [38, 29, 9]-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
None.