Information on Result #1215073
Digital (40, 49, 65563)-net over F8, using (u, u+v)-construction based on
- digital (2, 6, 28)-net over F8, using
- net defined by OOA [i] based on linear OOA(86, 28, F8, 4, 4) (dual of [(28, 4), 106, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(86, 28, F8, 3, 4) (dual of [(28, 3), 78, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- OA 2-folding and stacking [i] based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- appending kth column [i] based on linear OOA(86, 28, F8, 3, 4) (dual of [(28, 3), 78, 5]-NRT-code), using
- net defined by OOA [i] based on linear OOA(86, 28, F8, 4, 4) (dual of [(28, 4), 106, 5]-NRT-code), using
- digital (34, 43, 65535)-net over F8, using
- net defined by OOA [i] based on linear OOA(843, 65535, F8, 9, 9) (dual of [(65535, 9), 589772, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(843, 262141, F8, 9) (dual of [262141, 262098, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(843, 262144, F8, 9) (dual of [262144, 262101, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(843, 262144, F8, 9) (dual of [262144, 262101, 10]-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(843, 262141, F8, 9) (dual of [262141, 262098, 10]-code), using
- net defined by OOA [i] based on linear OOA(843, 65535, F8, 9, 9) (dual of [(65535, 9), 589772, 10]-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.