Information on Result #1228238
Digital (21, 36, 2469)-net over F128, using (u, u+v)-construction based on
- digital (0, 7, 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 (14, 29, 2340)-net over F128, using
- net defined by OOA [i] based on linear OOA(12829, 2340, F128, 15, 15) (dual of [(2340, 15), 35071, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(12829, 16381, F128, 15) (dual of [16381, 16352, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(12829, 16384, F128, 15) (dual of [16384, 16355, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(12829, 16384, F128, 15) (dual of [16384, 16355, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(12829, 16381, F128, 15) (dual of [16381, 16352, 16]-code), using
- net defined by OOA [i] based on linear OOA(12829, 2340, F128, 15, 15) (dual of [(2340, 15), 35071, 16]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | (27, 42, 2469)-net in base 64 | [i] | Base Change | |