Information on Result #1217321
Digital (41, 52, 11826)-net over F9, using (u, u+v)-construction based on
- digital (1, 6, 16)-net over F9, using
- net from sequence [i] based on digital (1, 15)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- net from sequence [i] based on digital (1, 15)-sequence over F9, using
- digital (35, 46, 11810)-net over F9, using
- net defined by OOA [i] based on linear OOA(946, 11810, F9, 11, 11) (dual of [(11810, 11), 129864, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(946, 59051, F9, 11) (dual of [59051, 59005, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(946, 59054, F9, 11) (dual of [59054, 59008, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(946, 59049, F9, 11) (dual of [59049, 59003, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(941, 59049, F9, 10) (dual of [59049, 59008, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(946, 59054, F9, 11) (dual of [59054, 59008, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(946, 59051, F9, 11) (dual of [59051, 59005, 12]-code), using
- net defined by OOA [i] based on linear OOA(946, 11810, F9, 11, 11) (dual of [(11810, 11), 129864, 12]-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.