Information on Result #1227676
Digital (35, 48, 90760)-net over F81, using (u, u+v)-construction based on
- digital (5, 11, 2187)-net over F81, using
- net defined by OOA [i] based on linear OOA(8111, 2187, F81, 6, 6) (dual of [(2187, 6), 13111, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(8111, 6561, F81, 6) (dual of [6561, 6550, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- OA 3-folding and stacking [i] based on linear OA(8111, 6561, F81, 6) (dual of [6561, 6550, 7]-code), using
- net defined by OOA [i] based on linear OOA(8111, 2187, F81, 6, 6) (dual of [(2187, 6), 13111, 7]-NRT-code), using
- digital (24, 37, 88573)-net over F81, using
- net defined by OOA [i] based on linear OOA(8137, 88573, F81, 13, 13) (dual of [(88573, 13), 1151412, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(8137, 531439, F81, 13) (dual of [531439, 531402, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(8137, 531441, F81, 13) (dual of [531441, 531404, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(8137, 531441, F81, 13) (dual of [531441, 531404, 14]-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(8137, 531439, F81, 13) (dual of [531439, 531402, 14]-code), using
- net defined by OOA [i] based on linear OOA(8137, 88573, F81, 13, 13) (dual of [(88573, 13), 1151412, 14]-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.