Information on Result #1222947
Digital (43, 70, 216)-net over F27, using (u, u+v)-construction based on
- digital (12, 25, 121)-net over F27, using
- net defined by OOA [i] based on linear OOA(2725, 121, F27, 13, 13) (dual of [(121, 13), 1548, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2725, 727, F27, 13) (dual of [727, 702, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2725, 728, F27, 13) (dual of [728, 703, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(2725, 728, F27, 13) (dual of [728, 703, 14]-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2725, 727, F27, 13) (dual of [727, 702, 14]-code), using
- net defined by OOA [i] based on linear OOA(2725, 121, F27, 13, 13) (dual of [(121, 13), 1548, 14]-NRT-code), using
- digital (18, 45, 108)-net over F27, using
- net from sequence [i] based on digital (18, 107)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 18 and N(F) ≥ 108, using
- F3 from the tower of function fields by Bezerra, GarcÃa, and Stichtenoth over F27 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 18 and N(F) ≥ 108, using
- net from sequence [i] based on digital (18, 107)-sequence over F27, 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.