Information on Result #1022383
Linear OOA(6448, 5858772, F64, 3, 8) (dual of [(5858772, 3), 17576268, 9]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(642, 65, F64, 3, 2) (dual of [(65, 3), 193, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;193,64) [i]
- linear OOA(644, 266305, F64, 3, 2) (dual of [(266305, 3), 798911, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(644, 266305, F64, 2, 2) (dual of [(266305, 2), 532606, 3]-NRT-code), using
- appending kth column [i] based on linear OA(644, 266305, F64, 2) (dual of [266305, 266301, 3]-code), using
- Hamming code H(4,64) [i]
- appending kth column [i] based on linear OA(644, 266305, F64, 2) (dual of [266305, 266301, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(644, 266305, F64, 2, 2) (dual of [(266305, 2), 532606, 3]-NRT-code), using
- linear OOA(6413, 2796201, F64, 3, 4) (dual of [(2796201, 3), 8388590, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6413, 4194301, F64, 3, 4) (dual of [(4194301, 3), 12582890, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(6413, 8388602, F64, 4) (dual of [8388602, 8388589, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(6413, large, F64, 4) (dual of [large, large−13, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(6413, large, F64, 4) (dual of [large, large−13, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(6413, 8388602, F64, 4) (dual of [8388602, 8388589, 5]-code), using
- discarding factors / shortening the dual code based on linear OOA(6413, 4194301, F64, 3, 4) (dual of [(4194301, 3), 12582890, 5]-NRT-code), using
- linear OOA(6429, 2796201, F64, 3, 8) (dual of [(2796201, 3), 8388574, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6429, large, F64, 8) (dual of [large, large−29, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- OOA 3-folding [i] based on linear OA(6429, large, F64, 8) (dual of [large, large−29, 9]-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.