Information on Result #1188270
Digital (58, 65, 4194306)-net over F5, using net defined by OOA based on linear OOA(565, 4194306, F5, 9, 7) (dual of [(4194306, 9), 37748689, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(565, 4194307, F5, 3, 7) (dual of [(4194307, 3), 12582856, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(53, 6, F5, 3, 3) (dual of [(6, 3), 15, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;15,5) [i]
- linear OOA(562, 4194301, F5, 3, 7) (dual of [(4194301, 3), 12582841, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(562, 8388602, F5, 2, 7) (dual of [(8388602, 2), 16777142, 8]-NRT-code), using
- trace code [i] based on linear OOA(2531, 4194301, F25, 2, 7) (dual of [(4194301, 2), 8388571, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2531, 8388602, F25, 7) (dual of [8388602, 8388571, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2531, large, F25, 7) (dual of [large, large−31, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2531, large, F25, 7) (dual of [large, large−31, 8]-code), using
- OOA 2-folding [i] based on linear OA(2531, 8388602, F25, 7) (dual of [8388602, 8388571, 8]-code), using
- trace code [i] based on linear OOA(2531, 4194301, F25, 2, 7) (dual of [(4194301, 2), 8388571, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(562, 8388602, F5, 2, 7) (dual of [(8388602, 2), 16777142, 8]-NRT-code), using
- linear OOA(53, 6, F5, 3, 3) (dual of [(6, 3), 15, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
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.