Information on Result #894382
Linear OOA(2204, 4194331, F2, 2, 17) (dual of [(4194331, 2), 8388458, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(219, 30, F2, 2, 8) (dual of [(30, 2), 41, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 19, 30)-net over F2, using
- linear OOA(2185, 4194301, F2, 2, 17) (dual of [(4194301, 2), 8388417, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2185, 8388602, F2, 17) (dual of [8388602, 8388417, 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 2-folding [i] based on linear OA(2185, 8388602, F2, 17) (dual of [8388602, 8388417, 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(2204, 2097165, F2, 4, 17) (dual of [(2097165, 4), 8388456, 18]-NRT-code) | [i] | OOA Folding | |