Information on Result #1210515
Digital (142, 158, 1048593)-net over F4, using (u, u+v)-construction based on
- digital (6, 14, 18)-net over F4, using
- 4 times m-reduction [i] based on digital (6, 18, 18)-net over F4, using
- digital (128, 144, 1048575)-net over F4, using
- net defined by OOA [i] based on linear OOA(4144, 1048575, F4, 16, 16) (dual of [(1048575, 16), 16777056, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(4144, 8388600, F4, 16) (dual of [8388600, 8388456, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4144, large, F4, 16) (dual of [large, large−144, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(4144, large, F4, 16) (dual of [large, large−144, 17]-code), using
- OA 8-folding and stacking [i] based on linear OA(4144, 8388600, F4, 16) (dual of [8388600, 8388456, 17]-code), using
- net defined by OOA [i] based on linear OOA(4144, 1048575, F4, 16, 16) (dual of [(1048575, 16), 16777056, 17]-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.