Information on Result #1081336
Linear OOA(3197, 2097168, F3, 4, 19) (dual of [(2097168, 4), 8388475, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(316, 18, F3, 4, 9) (dual of [(18, 4), 56, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 16, 18)-net over F3, using
- 2 times m-reduction [i] based on digital (7, 18, 18)-net over F3, using
- extracting embedded OOA [i] based on digital (7, 16, 18)-net over F3, using
- linear OOA(3181, 2097150, F3, 4, 19) (dual of [(2097150, 4), 8388419, 20]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3181, 8388600, F3, 19) (dual of [8388600, 8388419, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- OOA 4-folding [i] based on linear OA(3181, 8388600, F3, 19) (dual of [8388600, 8388419, 20]-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.
Other Results with Identical Parameters
None.
Depending Results
None.