Information on Result #1180328
Digital (187, 199, 2446672)-net over F2, using net defined by OOA based on linear OOA(2199, 2446672, F2, 18, 12) (dual of [(2446672, 18), 44039897, 13]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2199, 2446673, F2, 6, 12) (dual of [(2446673, 6), 14679839, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(261, 1048573, F2, 6, 6) (dual of [(1048573, 6), 6291377, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(261, 1048574, F2, 3, 6) (dual of [(1048574, 3), 3145661, 7]-NRT-code), using
- 1 step truncation [i] based on linear OOA(262, 1048575, F2, 3, 7) (dual of [(1048575, 3), 3145663, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(261, 1048574, F2, 3, 6) (dual of [(1048574, 3), 3145661, 7]-NRT-code), using
- linear OOA(2138, 1398100, F2, 6, 12) (dual of [(1398100, 6), 8388462, 13]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2138, 8388600, F2, 12) (dual of [8388600, 8388462, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- OOA 6-folding [i] based on linear OA(2138, 8388600, F2, 12) (dual of [8388600, 8388462, 13]-code), using
- linear OOA(261, 1048573, F2, 6, 6) (dual of [(1048573, 6), 6291377, 7]-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.