Information on Result #1009432
Linear OOA(2215, 2796268, F2, 3, 17) (dual of [(2796268, 3), 8388589, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(230, 67, F2, 3, 8) (dual of [(67, 3), 171, 9]-NRT-code), using
- (u, u+v)-construction [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
- linear OOA(220, 35, F2, 3, 8) (dual of [(35, 3), 85, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 20, 35)-net over F2, using
- linear OOA(210, 32, F2, 3, 4) (dual of [(32, 3), 86, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2185, 2796201, F2, 3, 17) (dual of [(2796201, 3), 8388418, 18]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2215, 1398134, F2, 6, 17) (dual of [(1398134, 6), 8388589, 18]-NRT-code) | [i] | OOA Folding | |