Information on Result #1222585
Digital (73, 93, 53220)-net over F27, using (u, u+v)-construction based on
- digital (6, 16, 76)-net over F27, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- digital (57, 77, 53144)-net over F27, using
- net defined by OOA [i] based on linear OOA(2777, 53144, F27, 20, 20) (dual of [(53144, 20), 1062803, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(2777, 531440, F27, 20) (dual of [531440, 531363, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2777, 531441, F27, 20) (dual of [531441, 531364, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(2777, 531441, F27, 20) (dual of [531441, 531364, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(2777, 531440, F27, 20) (dual of [531440, 531363, 21]-code), using
- net defined by OOA [i] based on linear OOA(2777, 53144, F27, 20, 20) (dual of [(53144, 20), 1062803, 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.