Information on Result #1228415
Digital (56, 78, 190842)-net over F128, using (u, u+v)-construction based on
- digital (3, 14, 192)-net over F128, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- digital (42, 64, 190650)-net over F128, using
- net defined by OOA [i] based on linear OOA(12864, 190650, F128, 22, 22) (dual of [(190650, 22), 4194236, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(12864, 2097150, F128, 22) (dual of [2097150, 2097086, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(12864, 2097152, F128, 22) (dual of [2097152, 2097088, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(12864, 2097152, F128, 22) (dual of [2097152, 2097088, 23]-code), using
- OA 11-folding and stacking [i] based on linear OA(12864, 2097150, F128, 22) (dual of [2097150, 2097086, 23]-code), using
- net defined by OOA [i] based on linear OOA(12864, 190650, F128, 22, 22) (dual of [(190650, 22), 4194236, 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.