Information on Result #1213812
Digital (111, 130, 43409)-net over F5, using (u, u+v)-construction based on
- digital (0, 9, 6)-net over F5, using
- net from sequence [i] based on digital (0, 5)-sequence over F5, using
- Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 0 and N(F) ≥ 6, using
- the rational function field F5(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 5)-sequence over F5, using
- digital (102, 121, 43403)-net over F5, using
- net defined by OOA [i] based on linear OOA(5121, 43403, F5, 19, 19) (dual of [(43403, 19), 824536, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(5121, 390628, F5, 19) (dual of [390628, 390507, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(5121, 390633, F5, 19) (dual of [390633, 390512, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(5121, 390625, F5, 19) (dual of [390625, 390504, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(5113, 390625, F5, 18) (dual of [390625, 390512, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(50, 8, F5, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(5121, 390633, F5, 19) (dual of [390633, 390512, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(5121, 390628, F5, 19) (dual of [390628, 390507, 20]-code), using
- net defined by OOA [i] based on linear OOA(5121, 43403, F5, 19, 19) (dual of [(43403, 19), 824536, 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.