Information on Result #1214796
Digital (81, 101, 1699)-net over F7, using (u, u+v)-construction based on
- digital (5, 15, 18)-net over F7, using
- 3 times m-reduction [i] based on digital (5, 18, 18)-net over F7, using
- digital (66, 86, 1681)-net over F7, using
- net defined by OOA [i] based on linear OOA(786, 1681, F7, 20, 20) (dual of [(1681, 20), 33534, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(786, 16810, F7, 20) (dual of [16810, 16724, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(786, 16812, F7, 20) (dual of [16812, 16726, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(786, 16807, F7, 20) (dual of [16807, 16721, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(781, 16807, F7, 19) (dual of [16807, 16726, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(70, 5, F7, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(786, 16812, F7, 20) (dual of [16812, 16726, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(786, 16810, F7, 20) (dual of [16810, 16724, 21]-code), using
- net defined by OOA [i] based on linear OOA(786, 1681, F7, 20, 20) (dual of [(1681, 20), 33534, 21]-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.