Information on Result #1208164
Digital (226, 239, 5788623)-net over F3, using (u, u+v)-construction based on
- digital (50, 56, 1594323)-net over F3, using
- net defined by OOA [i] based on linear OOA(356, 1594323, F3, 6, 6) (dual of [(1594323, 6), 9565882, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(356, 1594323, F3, 5, 6) (dual of [(1594323, 5), 7971559, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(356, 4782969, F3, 6) (dual of [4782969, 4782913, 7]-code), using
- 1 times truncation [i] based on linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using
- OA 3-folding and stacking [i] based on linear OA(356, 4782969, F3, 6) (dual of [4782969, 4782913, 7]-code), using
- appending kth column [i] based on linear OOA(356, 1594323, F3, 5, 6) (dual of [(1594323, 5), 7971559, 7]-NRT-code), using
- net defined by OOA [i] based on linear OOA(356, 1594323, F3, 6, 6) (dual of [(1594323, 6), 9565882, 7]-NRT-code), using
- digital (170, 183, 4194300)-net over F3, using
- trace code for nets [i] based on digital (48, 61, 1398100)-net over F27, using
- net defined by OOA [i] based on linear OOA(2761, 1398100, F27, 13, 13) (dual of [(1398100, 13), 18175239, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2761, 8388601, F27, 13) (dual of [8388601, 8388540, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2761, large, F27, 13) (dual of [large, large−61, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2761, large, F27, 13) (dual of [large, large−61, 14]-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2761, 8388601, F27, 13) (dual of [8388601, 8388540, 14]-code), using
- net defined by OOA [i] based on linear OOA(2761, 1398100, F27, 13, 13) (dual of [(1398100, 13), 18175239, 14]-NRT-code), using
- trace code for nets [i] based on digital (48, 61, 1398100)-net over F27, 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.