Information on Result #3171383
Digital (33, 36, large)-net over F8, using 2 times m-reduction based on digital (33, 38, large)-net over F8, using
- trace code for nets [i] based on digital (14, 19, 4194365)-net over F64, using
- net defined by OOA [i] based on linear OOA(6419, 4194365, F64, 6, 5) (dual of [(4194365, 6), 25166171, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(6419, 4194366, F64, 2, 5) (dual of [(4194366, 2), 8388713, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(642, 65, F64, 2, 2) (dual of [(65, 2), 128, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;128,64) [i]
- linear OOA(6417, 4194301, F64, 2, 5) (dual of [(4194301, 2), 8388585, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6417, 8388602, F64, 5) (dual of [8388602, 8388585, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(6417, large, F64, 5) (dual of [large, large−17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6417, large, F64, 5) (dual of [large, large−17, 6]-code), using
- OOA 2-folding [i] based on linear OA(6417, 8388602, F64, 5) (dual of [8388602, 8388585, 6]-code), using
- linear OOA(642, 65, F64, 2, 2) (dual of [(65, 2), 128, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(6419, 4194366, F64, 2, 5) (dual of [(4194366, 2), 8388713, 6]-NRT-code), using
- net defined by OOA [i] based on linear OOA(6419, 4194365, F64, 6, 5) (dual of [(4194365, 6), 25166171, 6]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.