Information on Result #1185948
Digital (68, 76, 2097152)-net over F4, using net defined by OOA based on linear OOA(476, 2097152, F4, 10, 8) (dual of [(2097152, 10), 20971444, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(476, 4194305, F4, 2, 8) (dual of [(4194305, 2), 8388534, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(476, 4194306, F4, 2, 8) (dual of [(4194306, 2), 8388536, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(44, 5, F4, 2, 4) (dual of [(5, 2), 6, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;6,4) [i]
- linear OOA(472, 4194301, F4, 2, 8) (dual of [(4194301, 2), 8388530, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(472, 8388602, F4, 8) (dual of [8388602, 8388530, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(472, large, F4, 8) (dual of [large, large−72, 9]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(472, large, F4, 8) (dual of [large, large−72, 9]-code), using
- OOA 2-folding [i] based on linear OA(472, 8388602, F4, 8) (dual of [8388602, 8388530, 9]-code), using
- linear OOA(44, 5, F4, 2, 4) (dual of [(5, 2), 6, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(476, 4194306, F4, 2, 8) (dual of [(4194306, 2), 8388536, 9]-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.