Information on Result #1227084
Digital (30, 48, 585)-net over F64, using (u, u+v)-construction based on
- digital (4, 13, 130)-net over F64, using
- (u, u+v)-construction [i] based on
- digital (0, 4, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- digital (0, 9, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64 (see above)
- digital (0, 4, 65)-net over F64, using
- (u, u+v)-construction [i] based on
- digital (17, 35, 455)-net over F64, using
- net defined by OOA [i] based on linear OOA(6435, 455, F64, 18, 18) (dual of [(455, 18), 8155, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(6435, 4095, F64, 18) (dual of [4095, 4060, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(6435, 4096, F64, 18) (dual of [4096, 4061, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(6435, 4096, F64, 18) (dual of [4096, 4061, 19]-code), using
- OA 9-folding and stacking [i] based on linear OA(6435, 4095, F64, 18) (dual of [4095, 4060, 19]-code), using
- net defined by OOA [i] based on linear OOA(6435, 455, F64, 18, 18) (dual of [(455, 18), 8155, 19]-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.