Information on Result #1215734
Digital (126, 148, 190674)-net over F8, using (u, u+v)-construction based on
- digital (3, 14, 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 (112, 134, 190650)-net over F8, using
- net defined by OOA [i] based on linear OOA(8134, 190650, F8, 22, 22) (dual of [(190650, 22), 4194166, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(8134, 2097150, F8, 22) (dual of [2097150, 2097016, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(8134, 2097152, F8, 22) (dual of [2097152, 2097018, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(8134, 2097152, F8, 22) (dual of [2097152, 2097018, 23]-code), using
- OA 11-folding and stacking [i] based on linear OA(8134, 2097150, F8, 22) (dual of [2097150, 2097016, 23]-code), using
- net defined by OOA [i] based on linear OOA(8134, 190650, F8, 22, 22) (dual of [(190650, 22), 4194166, 23]-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.