Information on Result #901069
Linear OOA(2789, 9871, F27, 2, 26) (dual of [(9871, 2), 19653, 27]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2713, 28, F27, 2, 13) (dual of [(28, 2), 43, 14]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;43,27) [i]
- linear OOA(2776, 9843, F27, 2, 26) (dual of [(9843, 2), 19610, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2776, 19686, F27, 26) (dual of [19686, 19610, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] 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(2773, 19683, F27, 25) (dual of [19683, 19610, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(25) ⊂ Ce(24) [i] based on
- OOA 2-folding [i] based on linear OA(2776, 19686, F27, 26) (dual of [19686, 19610, 27]-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.