Information on Result #1214384
Digital (40, 48, 205898)-net over F7, using (u, u+v)-construction based on
- digital (1, 5, 13)-net over F7, using
- 8 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- digital (35, 43, 205885)-net over F7, using
- net defined by OOA [i] based on linear OOA(743, 205885, F7, 8, 8) (dual of [(205885, 8), 1647037, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(743, 823540, F7, 8) (dual of [823540, 823497, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(743, 823543, F7, 8) (dual of [823543, 823500, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(743, 823543, F7, 8) (dual of [823543, 823500, 9]-code), using
- OA 4-folding and stacking [i] based on linear OA(743, 823540, F7, 8) (dual of [823540, 823497, 9]-code), using
- net defined by OOA [i] based on linear OOA(743, 205885, F7, 8, 8) (dual of [(205885, 8), 1647037, 9]-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.