Information on Result #1022768
Linear OOA(12841, 5849, F128, 3, 15) (dual of [(5849, 3), 17506, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12812, 387, F128, 3, 7) (dual of [(387, 3), 1149, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(1282, 129, F128, 3, 2) (dual of [(129, 3), 385, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;385,128) [i]
- linear OOA(1283, 129, F128, 3, 3) (dual of [(129, 3), 384, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;384,128) [i]
- linear OOA(1287, 129, F128, 3, 7) (dual of [(129, 3), 380, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;380,128) [i]
- linear OOA(1282, 129, F128, 3, 2) (dual of [(129, 3), 385, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(12829, 5462, F128, 3, 15) (dual of [(5462, 3), 16357, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12829, 16386, F128, 15) (dual of [16386, 16357, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(12829, 16384, F128, 15) (dual of [16384, 16355, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- OOA 3-folding [i] based on linear OA(12829, 16386, F128, 15) (dual of [16386, 16357, 16]-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.