Information on Result #1213269
Digital (59, 68, 488289)-net over F5, using (u, u+v)-construction based on
- digital (0, 4, 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 (55, 64, 488283)-net over F5, using
- net defined by OOA [i] based on linear OOA(564, 488283, F5, 9, 9) (dual of [(488283, 9), 4394483, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(564, 1953133, F5, 9) (dual of [1953133, 1953069, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(564, 1953134, F5, 9) (dual of [1953134, 1953070, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(564, 1953125, F5, 9) (dual of [1953125, 1953061, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(555, 1953125, F5, 8) (dual of [1953125, 1953070, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(50, 9, F5, 0) (dual of [9, 9, 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(8) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(564, 1953134, F5, 9) (dual of [1953134, 1953070, 10]-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(564, 1953133, F5, 9) (dual of [1953133, 1953069, 10]-code), using
- net defined by OOA [i] based on linear OOA(564, 488283, F5, 9, 9) (dual of [(488283, 9), 4394483, 10]-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.