Information on Result #1226440
Digital (14, 24, 530)-net over F49, using (u, u+v)-construction based on
- digital (0, 5, 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 (9, 19, 480)-net over F49, using
- net defined by OOA [i] based on linear OOA(4919, 480, F49, 10, 10) (dual of [(480, 10), 4781, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(4919, 2400, F49, 10) (dual of [2400, 2381, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(4919, 2401, F49, 10) (dual of [2401, 2382, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(4919, 2401, F49, 10) (dual of [2401, 2382, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(4919, 2400, F49, 10) (dual of [2400, 2381, 11]-code), using
- net defined by OOA [i] based on linear OOA(4919, 480, F49, 10, 10) (dual of [(480, 10), 4781, 11]-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.