Information on Result #1205741
Digital (109, 128, 1864304)-net over F16, using trace code for nets based on digital (45, 64, 932152)-net over F256, using
- net defined by OOA [i] based on linear OOA(25664, 932152, F256, 21, 19) (dual of [(932152, 21), 19575128, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(25664, 2796457, F256, 3, 19) (dual of [(2796457, 3), 8389307, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25664, 2796458, F256, 3, 19) (dual of [(2796458, 3), 8389310, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2569, 257, F256, 3, 9) (dual of [(257, 3), 762, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;762,256) [i]
- linear OOA(25655, 2796201, F256, 3, 19) (dual of [(2796201, 3), 8388548, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- OOA 3-folding [i] based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- linear OOA(2569, 257, F256, 3, 9) (dual of [(257, 3), 762, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(25664, 2796458, F256, 3, 19) (dual of [(2796458, 3), 8389310, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(25664, 2796457, F256, 3, 19) (dual of [(2796457, 3), 8389307, 20]-NRT-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.