Information on Result #1184006
Digital (180, 194, 2097150)-net over F3, using net defined by OOA based on linear OOA(3194, 2097150, F3, 18, 14) (dual of [(2097150, 18), 37748506, 15]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3194, 8388601, F3, 2, 14) (dual of [(8388601, 2), 16777008, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3194, 8388602, F3, 2, 14) (dual of [(8388602, 2), 16777010, 15]-NRT-code), using
- trace code [i] based on linear OOA(997, 4194301, F9, 2, 14) (dual of [(4194301, 2), 8388505, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(997, 8388602, F9, 14) (dual of [8388602, 8388505, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(997, large, F9, 14) (dual of [large, large−97, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(997, large, F9, 14) (dual of [large, large−97, 15]-code), using
- OOA 2-folding [i] based on linear OA(997, 8388602, F9, 14) (dual of [8388602, 8388505, 15]-code), using
- trace code [i] based on linear OOA(997, 4194301, F9, 2, 14) (dual of [(4194301, 2), 8388505, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3194, 8388602, F3, 2, 14) (dual of [(8388602, 2), 16777010, 15]-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.