Information on Result #1221088
Digital (20, 32, 208)-net over F25, using (u, u+v)-construction based on
- digital (5, 11, 209)-net over F25, using
- net defined by OOA [i] based on linear OOA(2511, 209, F25, 6, 6) (dual of [(209, 6), 1243, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(2511, 627, F25, 6) (dual of [627, 616, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(2511, 625, F25, 6) (dual of [625, 614, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(259, 625, F25, 5) (dual of [625, 616, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- OA 3-folding and stacking [i] based on linear OA(2511, 627, F25, 6) (dual of [627, 616, 7]-code), using
- net defined by OOA [i] based on linear OOA(2511, 209, F25, 6, 6) (dual of [(209, 6), 1243, 7]-NRT-code), using
- digital (9, 21, 104)-net over F25, using
- net from sequence [i] based on digital (9, 103)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 9 and N(F) ≥ 104, using
- net from sequence [i] based on digital (9, 103)-sequence over F25, 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.