Information on Result #1210870
Digital (156, 176, 419439)-net over F4, using (u, u+v)-construction based on
- digital (1, 11, 9)-net over F4, using
- net from sequence [i] based on digital (1, 8)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- net from sequence [i] based on digital (1, 8)-sequence over F4, using
- digital (145, 165, 419430)-net over F4, using
- net defined by OOA [i] based on linear OOA(4165, 419430, F4, 20, 20) (dual of [(419430, 20), 8388435, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(4165, 4194300, F4, 20) (dual of [4194300, 4194135, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4165, 4194303, F4, 20) (dual of [4194303, 4194138, 21]-code), using
- 1 times truncation [i] based on linear OA(4166, 4194304, F4, 21) (dual of [4194304, 4194138, 22]-code), using
- an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- 1 times truncation [i] based on linear OA(4166, 4194304, F4, 21) (dual of [4194304, 4194138, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4165, 4194303, F4, 20) (dual of [4194303, 4194138, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(4165, 4194300, F4, 20) (dual of [4194300, 4194135, 21]-code), using
- net defined by OOA [i] based on linear OOA(4165, 419430, F4, 20, 20) (dual of [(419430, 20), 8388435, 21]-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.