Information on Result #1214743
Digital (83, 101, 13085)-net over F7, using (u, u+v)-construction based on
- digital (1, 10, 13)-net over F7, using
- 3 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- digital (73, 91, 13072)-net over F7, using
- net defined by OOA [i] based on linear OOA(791, 13072, F7, 18, 18) (dual of [(13072, 18), 235205, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(791, 117648, F7, 18) (dual of [117648, 117557, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(791, 117649, F7, 18) (dual of [117649, 117558, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(791, 117649, F7, 18) (dual of [117649, 117558, 19]-code), using
- OA 9-folding and stacking [i] based on linear OA(791, 117648, F7, 18) (dual of [117648, 117557, 19]-code), using
- net defined by OOA [i] based on linear OOA(791, 13072, F7, 18, 18) (dual of [(13072, 18), 235205, 19]-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.