Information on Result #1117066
Linear OOA(3103, 2097878, F3, 5, 9) (dual of [(2097878, 5), 10489287, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(313, 728, F3, 5, 4) (dual of [(728, 5), 3627, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(313, 728, F3, 4, 4) (dual of [(728, 4), 2899, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(313, 728, F3, 3, 4) (dual of [(728, 3), 2171, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (9, 13, 728)-net over F3, using
- appending kth column [i] based on linear OOA(313, 728, F3, 3, 4) (dual of [(728, 3), 2171, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(313, 728, F3, 4, 4) (dual of [(728, 4), 2899, 5]-NRT-code), using
- linear OOA(390, 2097150, F3, 5, 9) (dual of [(2097150, 5), 10485660, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(390, 8388601, F3, 9) (dual of [8388601, 8388511, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(390, 8388601, F3, 9) (dual of [8388601, 8388511, 10]-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.