Information on Result #1226536
Digital (21, 36, 393)-net over F49, using (u, u+v)-construction based on
- digital (0, 7, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using
- the rational function field F49(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- digital (14, 29, 343)-net over F49, using
- net defined by OOA [i] based on linear OOA(4929, 343, F49, 15, 15) (dual of [(343, 15), 5116, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(4929, 2402, F49, 15) (dual of [2402, 2373, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- OOA 7-folding and stacking with additional row [i] based on linear OA(4929, 2402, F49, 15) (dual of [2402, 2373, 16]-code), using
- net defined by OOA [i] based on linear OOA(4929, 343, F49, 15, 15) (dual of [(343, 15), 5116, 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
None.