Information on Result #1179722
Digital (14, 19, 4194430)-net over F128, using net defined by OOA based on linear OOA(12819, 4194430, F128, 5, 5) (dual of [(4194430, 5), 20972131, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(12819, 4194430, F128, 4, 5) (dual of [(4194430, 4), 16777701, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1282, 129, F128, 4, 2) (dual of [(129, 4), 514, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;514,128) [i]
- linear OOA(12817, 4194301, F128, 4, 5) (dual of [(4194301, 4), 16777187, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(12817, large, F128, 5) (dual of [large, large−17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(12817, large, F128, 5) (dual of [large, large−17, 6]-code), using
- linear OOA(1282, 129, F128, 4, 2) (dual of [(129, 4), 514, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.