Information on Result #1185728
Digital (34, 39, 4194305)-net over F4, using net defined by OOA based on linear OOA(439, 4194305, F4, 6, 5) (dual of [(4194305, 6), 25165791, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(439, 4194306, F4, 2, 5) (dual of [(4194306, 2), 8388573, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(42, 5, F4, 2, 2) (dual of [(5, 2), 8, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;8,4) [i]
- linear OOA(437, 4194301, F4, 2, 5) (dual of [(4194301, 2), 8388565, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(437, 8388602, F4, 5) (dual of [8388602, 8388565, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(437, large, F4, 5) (dual of [large, large−37, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(437, large, F4, 5) (dual of [large, large−37, 6]-code), using
- OOA 2-folding [i] based on linear OA(437, 8388602, F4, 5) (dual of [8388602, 8388565, 6]-code), using
- linear OOA(42, 5, F4, 2, 2) (dual of [(5, 2), 8, 3]-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.