Information on Result #1181437
Linear OOA(2214, 1048634, F2, 24, 17) (dual of [(1048634, 24), 25167002, 18]-NRT-code), using OOA stacking with additional row based on linear OOA(2214, 1048635, F2, 8, 17) (dual of [(1048635, 8), 8388866, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(229, 60, F2, 8, 8) (dual of [(60, 8), 451, 9]-NRT-code), using
- appending kth column [i] based on linear OOA(229, 60, F2, 7, 8) (dual of [(60, 7), 391, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(210, 32, F2, 7, 4) (dual of [(32, 7), 214, 5]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(210, 32, F2, 4, 4) (dual of [(32, 4), 118, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(210, 32, F2, 3, 4) (dual of [(32, 3), 86, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 10, 32)-net over F2, using
- appending kth column [i] based on linear OOA(210, 32, F2, 3, 4) (dual of [(32, 3), 86, 5]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(210, 32, F2, 4, 4) (dual of [(32, 4), 118, 5]-NRT-code), using
- linear OOA(219, 30, F2, 7, 8) (dual of [(30, 7), 191, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 19, 30)-net over F2, using
- linear OOA(210, 32, F2, 7, 4) (dual of [(32, 7), 214, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- appending kth column [i] based on linear OOA(229, 60, F2, 7, 8) (dual of [(60, 7), 391, 9]-NRT-code), using
- linear OOA(2185, 1048575, F2, 8, 17) (dual of [(1048575, 8), 8388415, 18]-NRT-code), using
- OOA 8-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- OOA 8-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-code), using
- linear OOA(229, 60, F2, 8, 8) (dual of [(60, 8), 451, 9]-NRT-code), using
Mode: Constructive and linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (197, 214, 1048634)-net over F2 | [i] | Net Defined by OOA | |