Information on Result #900603
Linear OOA(2750, 9899, F27, 2, 14) (dual of [(9899, 2), 19748, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2710, 56, F27, 2, 7) (dual of [(56, 2), 102, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(273, 28, F27, 2, 3) (dual of [(28, 2), 53, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;53,27) [i]
- linear OOA(277, 28, F27, 2, 7) (dual of [(28, 2), 49, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;49,27) [i]
- linear OOA(273, 28, F27, 2, 3) (dual of [(28, 2), 53, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2740, 9843, F27, 2, 14) (dual of [(9843, 2), 19646, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2740, 19686, F27, 14) (dual of [19686, 19646, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- 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(2737, 19683, F27, 13) (dual of [19683, 19646, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(13) ⊂ Ce(12) [i] based on
- OOA 2-folding [i] based on linear OA(2740, 19686, F27, 14) (dual of [19686, 19646, 15]-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.