Information on Result #1208574
Digital (175, 195, 478306)-net over F3, using (u, u+v)-construction based on
- digital (2, 12, 8)-net over F3, using
- net from sequence [i] based on digital (2, 7)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 2 and N(F) ≥ 8, using
- net from sequence [i] based on digital (2, 7)-sequence over F3, using
- digital (163, 183, 478298)-net over F3, using
- net defined by OOA [i] based on linear OOA(3183, 478298, F3, 20, 20) (dual of [(478298, 20), 9565777, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(3183, 4782980, F3, 20) (dual of [4782980, 4782797, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3183, 4782983, F3, 20) (dual of [4782983, 4782800, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(3183, 4782969, F3, 20) (dual of [4782969, 4782786, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3169, 4782969, F3, 19) (dual of [4782969, 4782800, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(30, 14, F3, 0) (dual of [14, 14, 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(3183, 4782983, F3, 20) (dual of [4782983, 4782800, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(3183, 4782980, F3, 20) (dual of [4782980, 4782797, 21]-code), using
- net defined by OOA [i] based on linear OOA(3183, 478298, F3, 20, 20) (dual of [(478298, 20), 9565777, 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.