Information on Result #1216024
Digital (139, 168, 18748)-net over F8, using (u, u+v)-construction based on
- digital (3, 17, 24)-net over F8, using
- net from sequence [i] based on digital (3, 23)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- net from sequence [i] based on digital (3, 23)-sequence over F8, using
- digital (122, 151, 18724)-net over F8, using
- net defined by OOA [i] based on linear OOA(8151, 18724, F8, 29, 29) (dual of [(18724, 29), 542845, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(8151, 262137, F8, 29) (dual of [262137, 261986, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(8151, 262144, F8, 29) (dual of [262144, 261993, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- discarding factors / shortening the dual code based on linear OA(8151, 262144, F8, 29) (dual of [262144, 261993, 30]-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(8151, 262137, F8, 29) (dual of [262137, 261986, 30]-code), using
- net defined by OOA [i] based on linear OOA(8151, 18724, F8, 29, 29) (dual of [(18724, 29), 542845, 30]-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.