Information on Result #1208121
Digital (107, 120, 797168)-net over F3, using (u, u+v)-construction based on
- digital (1, 7, 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
- a shift-net [i]
- net from sequence [i] based on digital (1, 6)-sequence over F3, using
- digital (100, 113, 797161)-net over F3, using
- net defined by OOA [i] based on linear OOA(3113, 797161, F3, 13, 13) (dual of [(797161, 13), 10362980, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(3113, 4782967, F3, 13) (dual of [4782967, 4782854, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3113, 4782969, F3, 13) (dual of [4782969, 4782856, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(3113, 4782969, F3, 13) (dual of [4782969, 4782856, 14]-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(3113, 4782967, F3, 13) (dual of [4782967, 4782854, 14]-code), using
- net defined by OOA [i] based on linear OOA(3113, 797161, F3, 13, 13) (dual of [(797161, 13), 10362980, 14]-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.