Information on Result #1211791
Digital (207, 245, 3458)-net over F4, using (u, u+v)-construction based on
- digital (1, 20, 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 (187, 225, 3449)-net over F4, using
- net defined by OOA [i] based on linear OOA(4225, 3449, F4, 38, 38) (dual of [(3449, 38), 130837, 39]-NRT-code), using
- OA 19-folding and stacking [i] based on linear OA(4225, 65531, F4, 38) (dual of [65531, 65306, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(4225, 65536, F4, 38) (dual of [65536, 65311, 39]-code), using
- an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- discarding factors / shortening the dual code based on linear OA(4225, 65536, F4, 38) (dual of [65536, 65311, 39]-code), using
- OA 19-folding and stacking [i] based on linear OA(4225, 65531, F4, 38) (dual of [65531, 65306, 39]-code), using
- net defined by OOA [i] based on linear OOA(4225, 3449, F4, 38, 38) (dual of [(3449, 38), 130837, 39]-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.