Information on Result #1228345
Digital (31, 50, 2078)-net over F128, using (u, u+v)-construction based on
- digital (4, 13, 258)-net over F128, using
- (u, u+v)-construction [i] based on
- digital (0, 4, 129)-net over F128, using
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 0 and N(F) ≥ 129, using
- the rational function field F128(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- digital (0, 9, 129)-net over F128, using
- net from sequence [i] based on digital (0, 128)-sequence over F128 (see above)
- digital (0, 4, 129)-net over F128, using
- (u, u+v)-construction [i] based on
- digital (18, 37, 1820)-net over F128, using
- net defined by OOA [i] based on linear OOA(12837, 1820, F128, 19, 19) (dual of [(1820, 19), 34543, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(12837, 16381, F128, 19) (dual of [16381, 16344, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(12837, 16384, F128, 19) (dual of [16384, 16347, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(12837, 16384, F128, 19) (dual of [16384, 16347, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(12837, 16381, F128, 19) (dual of [16381, 16344, 20]-code), using
- net defined by OOA [i] based on linear OOA(12837, 1820, F128, 19, 19) (dual of [(1820, 19), 34543, 20]-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.