Information on Result #1227173
Digital (55, 76, 26344)-net over F64, using (u, u+v)-construction based on
- digital (5, 15, 130)-net over F64, using
- (u, u+v)-construction [i] based on
- digital (0, 5, 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, 10, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64 (see above)
- digital (0, 5, 65)-net over F64, using
- (u, u+v)-construction [i] based on
- digital (40, 61, 26214)-net over F64, using
- net defined by OOA [i] based on linear OOA(6461, 26214, F64, 21, 21) (dual of [(26214, 21), 550433, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(6461, 262141, F64, 21) (dual of [262141, 262080, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(6461, 262144, F64, 21) (dual of [262144, 262083, 22]-code), using
- an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(6461, 262144, F64, 21) (dual of [262144, 262083, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(6461, 262141, F64, 21) (dual of [262141, 262080, 22]-code), using
- net defined by OOA [i] based on linear OOA(6461, 26214, F64, 21, 21) (dual of [(26214, 21), 550433, 22]-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.