Information on Result #1222734
Digital (58, 81, 1841)-net over F27, using (u, u+v)-construction based on
- digital (3, 14, 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 (44, 67, 1789)-net over F27, using
- net defined by OOA [i] based on linear OOA(2767, 1789, F27, 23, 23) (dual of [(1789, 23), 41080, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(2767, 19680, F27, 23) (dual of [19680, 19613, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2767, 19683, F27, 23) (dual of [19683, 19616, 24]-code), using
- an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(2767, 19683, F27, 23) (dual of [19683, 19616, 24]-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(2767, 19680, F27, 23) (dual of [19680, 19613, 24]-code), using
- net defined by OOA [i] based on linear OOA(2767, 1789, F27, 23, 23) (dual of [(1789, 23), 41080, 24]-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.