Information on Result #1223035
Digital (68, 96, 1457)-net over F27, using (u, u+v)-construction based on
- digital (3, 17, 52)-net over F27, using
- net from sequence [i] based on digital (3, 51)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- net from sequence [i] based on digital (3, 51)-sequence over F27, using
- digital (51, 79, 1405)-net over F27, using
- net defined by OOA [i] based on linear OOA(2779, 1405, F27, 28, 28) (dual of [(1405, 28), 39261, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(2779, 19670, F27, 28) (dual of [19670, 19591, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- discarding factors / shortening the dual code based on linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using
- OA 14-folding and stacking [i] based on linear OA(2779, 19670, F27, 28) (dual of [19670, 19591, 29]-code), using
- net defined by OOA [i] based on linear OOA(2779, 1405, F27, 28, 28) (dual of [(1405, 28), 39261, 29]-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.