Information on Result #1208561
Digital (109, 129, 1976)-net over F3, using (u, u+v)-construction based on
- digital (1, 11, 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 (98, 118, 1969)-net over F3, using
- net defined by OOA [i] based on linear OOA(3118, 1969, F3, 20, 20) (dual of [(1969, 20), 39262, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(3118, 19690, F3, 20) (dual of [19690, 19572, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3118, 19692, F3, 20) (dual of [19692, 19574, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(3118, 19683, F3, 20) (dual of [19683, 19565, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3109, 19683, F3, 19) (dual of [19683, 19574, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(19) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(3118, 19692, F3, 20) (dual of [19692, 19574, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(3118, 19690, F3, 20) (dual of [19690, 19572, 21]-code), using
- net defined by OOA [i] based on linear OOA(3118, 1969, F3, 20, 20) (dual of [(1969, 20), 39262, 21]-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.