Information on Result #1208568
Digital (147, 167, 53149)-net over F3, using (u, u+v)-construction based on
- digital (0, 10, 4)-net over F3, using
- net from sequence [i] based on digital (0, 3)-sequence over F3, using
- Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 0 and N(F) ≥ 4, using
- the rational function field F3(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 3)-sequence over F3, using
- digital (137, 157, 53145)-net over F3, using
- net defined by OOA [i] based on linear OOA(3157, 53145, F3, 20, 20) (dual of [(53145, 20), 1062743, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(3157, 531450, F3, 20) (dual of [531450, 531293, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3157, 531453, F3, 20) (dual of [531453, 531296, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(3157, 531441, F3, 20) (dual of [531441, 531284, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3145, 531441, F3, 19) (dual of [531441, 531296, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(30, 12, F3, 0) (dual of [12, 12, 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(3157, 531453, F3, 20) (dual of [531453, 531296, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(3157, 531450, F3, 20) (dual of [531450, 531293, 21]-code), using
- net defined by OOA [i] based on linear OOA(3157, 53145, F3, 20, 20) (dual of [(53145, 20), 1062743, 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.