Information on Result #1211760
Digital (199, 236, 3649)-net over F4, using (u, u+v)-construction based on
- digital (1, 19, 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 (180, 217, 3640)-net over F4, using
- net defined by OOA [i] based on linear OOA(4217, 3640, F4, 37, 37) (dual of [(3640, 37), 134463, 38]-NRT-code), using
- OOA 18-folding and stacking with additional row [i] based on linear OA(4217, 65521, F4, 37) (dual of [65521, 65304, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(4217, 65536, F4, 37) (dual of [65536, 65319, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- discarding factors / shortening the dual code based on linear OA(4217, 65536, F4, 37) (dual of [65536, 65319, 38]-code), using
- OOA 18-folding and stacking with additional row [i] based on linear OA(4217, 65521, F4, 37) (dual of [65521, 65304, 38]-code), using
- net defined by OOA [i] based on linear OOA(4217, 3640, F4, 37, 37) (dual of [(3640, 37), 134463, 38]-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.