Information on Result #1210104
Digital (67, 79, 10931)-net over F4, using (u, u+v)-construction based on
- digital (1, 7, 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 (60, 72, 10922)-net over F4, using
- net defined by OOA [i] based on linear OOA(472, 10922, F4, 12, 12) (dual of [(10922, 12), 130992, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(472, 65532, F4, 12) (dual of [65532, 65460, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(472, 65535, F4, 12) (dual of [65535, 65463, 13]-code), using
- 1 times truncation [i] based on linear OA(473, 65536, F4, 13) (dual of [65536, 65463, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- 1 times truncation [i] based on linear OA(473, 65536, F4, 13) (dual of [65536, 65463, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(472, 65535, F4, 12) (dual of [65535, 65463, 13]-code), using
- OA 6-folding and stacking [i] based on linear OA(472, 65532, F4, 12) (dual of [65532, 65460, 13]-code), using
- net defined by OOA [i] based on linear OOA(472, 10922, F4, 12, 12) (dual of [(10922, 12), 130992, 13]-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.