Information on Result #1214447
Digital (79, 88, 4194321)-net over F7, using (u, u+v)-construction based on
- digital (2, 6, 21)-net over F7, using
- net defined by OOA [i] based on linear OOA(76, 21, F7, 4, 4) (dual of [(21, 4), 78, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(76, 21, F7, 3, 4) (dual of [(21, 3), 57, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- OA 2-folding and stacking [i] based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- appending kth column [i] based on linear OOA(76, 21, F7, 3, 4) (dual of [(21, 3), 57, 5]-NRT-code), using
- net defined by OOA [i] based on linear OOA(76, 21, F7, 4, 4) (dual of [(21, 4), 78, 5]-NRT-code), using
- digital (73, 82, 4194300)-net over F7, using
- net defined by OOA [i] based on linear OOA(782, 4194300, F7, 10, 9) (dual of [(4194300, 10), 41942918, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(782, 8388601, F7, 2, 9) (dual of [(8388601, 2), 16777120, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(782, 8388602, F7, 2, 9) (dual of [(8388602, 2), 16777122, 10]-NRT-code), using
- trace code [i] based on linear OOA(4941, 4194301, F49, 2, 9) (dual of [(4194301, 2), 8388561, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4941, 8388602, F49, 9) (dual of [8388602, 8388561, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(4941, large, F49, 9) (dual of [large, large−41, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 28247525 | 4910−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(4941, large, F49, 9) (dual of [large, large−41, 10]-code), using
- OOA 2-folding [i] based on linear OA(4941, 8388602, F49, 9) (dual of [8388602, 8388561, 10]-code), using
- trace code [i] based on linear OOA(4941, 4194301, F49, 2, 9) (dual of [(4194301, 2), 8388561, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(782, 8388602, F7, 2, 9) (dual of [(8388602, 2), 16777122, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(782, 8388601, F7, 2, 9) (dual of [(8388601, 2), 16777120, 10]-NRT-code), using
- net defined by OOA [i] based on linear OOA(782, 4194300, F7, 10, 9) (dual of [(4194300, 10), 41942918, 10]-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.