Information on Result #1183904
Digital (158, 171, 1594348)-net over F3, using net defined by OOA based on linear OOA(3171, 1594348, F3, 15, 13) (dual of [(1594348, 15), 23915049, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3171, 3188697, F3, 3, 13) (dual of [(3188697, 3), 9565920, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3171, 3188698, F3, 3, 13) (dual of [(3188698, 3), 9565923, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(313, 42, F3, 3, 6) (dual of [(42, 3), 113, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 13, 42)-net over F3, using
- linear OOA(3158, 3188656, F3, 3, 13) (dual of [(3188656, 3), 9565810, 14]-NRT-code), using
- trace code [i] based on linear OOA(979, 1594328, F9, 3, 13) (dual of [(1594328, 3), 4782905, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(979, 4782984, F9, 13) (dual of [4782984, 4782905, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(91, 15, F9, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- OOA 3-folding [i] based on linear OA(979, 4782984, F9, 13) (dual of [4782984, 4782905, 14]-code), using
- trace code [i] based on linear OOA(979, 1594328, F9, 3, 13) (dual of [(1594328, 3), 4782905, 14]-NRT-code), using
- linear OOA(313, 42, F3, 3, 6) (dual of [(42, 3), 113, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3171, 3188698, F3, 3, 13) (dual of [(3188698, 3), 9565923, 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.