Information on Result #1211422
Digital (218, 247, 299602)-net over F4, using (u, u+v)-construction based on
- digital (1, 15, 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 (203, 232, 299593)-net over F4, using
- net defined by OOA [i] based on linear OOA(4232, 299593, F4, 29, 29) (dual of [(299593, 29), 8687965, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(4232, 4194303, F4, 29) (dual of [4194303, 4194071, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4232, 4194304, F4, 29) (dual of [4194304, 4194072, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- discarding factors / shortening the dual code based on linear OA(4232, 4194304, F4, 29) (dual of [4194304, 4194072, 30]-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(4232, 4194303, F4, 29) (dual of [4194303, 4194071, 30]-code), using
- net defined by OOA [i] based on linear OOA(4232, 299593, F4, 29, 29) (dual of [(299593, 29), 8687965, 30]-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.