Information on Result #1083123
Linear OOA(12865, 2097536, F128, 4, 14) (dual of [(2097536, 4), 8390079, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12812, 386, F128, 4, 7) (dual of [(386, 4), 1532, 8]-NRT-code), using
- OOA stacking with additional row [i] 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
- OOA stacking with additional row [i] based on linear OOA(12812, 387, F128, 3, 7) (dual of [(387, 3), 1149, 8]-NRT-code), using
- linear OOA(12853, 2097150, F128, 4, 14) (dual of [(2097150, 4), 8388547, 15]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12853, 8388600, F128, 14) (dual of [8388600, 8388547, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(12853, large, F128, 14) (dual of [large, large−53, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(12853, large, F128, 14) (dual of [large, large−53, 15]-code), using
- OOA 4-folding [i] based on linear OA(12853, 8388600, F128, 14) (dual of [8388600, 8388547, 15]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.