Information on Result #1183888
Digital (145, 158, 1594327)-net over F3, using net defined by OOA based on linear OOA(3158, 1594327, F3, 14, 13) (dual of [(1594327, 14), 22320420, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3158, 4782982, F3, 2, 13) (dual of [(4782982, 2), 9565806, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3158, 4782984, F3, 2, 13) (dual of [(4782984, 2), 9565810, 14]-NRT-code), using
- trace code [i] based on linear OOA(979, 2391492, F9, 2, 13) (dual of [(2391492, 2), 4782905, 14]-NRT-code), using
- OOA 2-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 2-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, 2391492, F9, 2, 13) (dual of [(2391492, 2), 4782905, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3158, 4782984, F3, 2, 13) (dual of [(4782984, 2), 9565810, 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.