Information on Result #1190242
Digital (96, 107, 2796204)-net over F7, using net defined by OOA based on linear OOA(7107, 2796204, F7, 15, 11) (dual of [(2796204, 15), 41942953, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(7107, 5592409, F7, 3, 11) (dual of [(5592409, 3), 16777120, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7107, 5592410, F7, 3, 11) (dual of [(5592410, 3), 16777123, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(75, 8, F7, 3, 5) (dual of [(8, 3), 19, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;19,7) [i]
- linear OOA(7102, 5592402, F7, 3, 11) (dual of [(5592402, 3), 16777104, 12]-NRT-code), using
- trace code [i] based on linear OOA(4951, 2796201, F49, 3, 11) (dual of [(2796201, 3), 8388552, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4951, large, F49, 11) (dual of [large, large−51, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 28247525 | 4910−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(4951, large, F49, 11) (dual of [large, large−51, 12]-code), using
- trace code [i] based on linear OOA(4951, 2796201, F49, 3, 11) (dual of [(2796201, 3), 8388552, 12]-NRT-code), using
- linear OOA(75, 8, F7, 3, 5) (dual of [(8, 3), 19, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(7107, 5592410, F7, 3, 11) (dual of [(5592410, 3), 16777123, 12]-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.