Information on Result #1208682
Digital (125, 148, 1797)-net over F3, using (u, u+v)-construction based on
- digital (1, 12, 7)-net over F3, using
- net from sequence [i] based on digital (1, 6)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- net from sequence [i] based on digital (1, 6)-sequence over F3, using
- digital (113, 136, 1790)-net over F3, using
- net defined by OOA [i] based on linear OOA(3136, 1790, F3, 23, 23) (dual of [(1790, 23), 41034, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(3136, 19691, F3, 23) (dual of [19691, 19555, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3136, 19692, F3, 23) (dual of [19692, 19556, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(3136, 19683, F3, 23) (dual of [19683, 19547, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(3136, 19692, F3, 23) (dual of [19692, 19556, 24]-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(3136, 19691, F3, 23) (dual of [19691, 19555, 24]-code), using
- net defined by OOA [i] based on linear OOA(3136, 1790, F3, 23, 23) (dual of [(1790, 23), 41034, 24]-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.