Information on Result #1208155
Digital (159, 172, 1594371)-net over F3, using (u, u+v)-construction based on
- digital (10, 16, 46)-net over F3, using
- net defined by OOA [i] based on linear OOA(316, 46, F3, 6, 6) (dual of [(46, 6), 260, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(316, 46, F3, 5, 6) (dual of [(46, 5), 214, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(33, 4, F3, 5, 3) (dual of [(4, 5), 17, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;17,3) [i]
- linear OOA(313, 42, F3, 5, 6) (dual of [(42, 5), 197, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 13, 42)-net over F3, using
- linear OOA(33, 4, F3, 5, 3) (dual of [(4, 5), 17, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- appending kth column [i] based on linear OOA(316, 46, F3, 5, 6) (dual of [(46, 5), 214, 7]-NRT-code), using
- net defined by OOA [i] based on linear OOA(316, 46, F3, 6, 6) (dual of [(46, 6), 260, 7]-NRT-code), using
- digital (143, 156, 1594325)-net over F3, using
- net defined by OOA [i] based on linear OOA(3156, 1594325, F3, 14, 13) (dual of [(1594325, 14), 22320394, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3156, 4782976, F3, 2, 13) (dual of [(4782976, 2), 9565796, 14]-NRT-code), using
- trace code [i] based on linear OOA(978, 2391488, F9, 2, 13) (dual of [(2391488, 2), 4782898, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(978, 4782976, F9, 13) (dual of [4782976, 4782898, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [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(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- OOA 2-folding [i] based on linear OA(978, 4782976, F9, 13) (dual of [4782976, 4782898, 14]-code), using
- trace code [i] based on linear OOA(978, 2391488, F9, 2, 13) (dual of [(2391488, 2), 4782898, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3156, 4782976, F3, 2, 13) (dual of [(4782976, 2), 9565796, 14]-NRT-code), using
- net defined by OOA [i] based on linear OOA(3156, 1594325, F3, 14, 13) (dual of [(1594325, 14), 22320394, 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.