Information on Result #1143491
Linear OOA(2157, 1398164, F2, 6, 13) (dual of [(1398164, 6), 8388827, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(218, 64, F2, 6, 6) (dual of [(64, 6), 366, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(218, 64, F2, 5, 6) (dual of [(64, 5), 302, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 18, 64)-net over F2, using
- appending kth column [i] based on linear OOA(218, 64, F2, 5, 6) (dual of [(64, 5), 302, 7]-NRT-code), using
- linear OOA(2139, 1398100, F2, 6, 13) (dual of [(1398100, 6), 8388461, 14]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2139, 8388600, F2, 13) (dual of [8388600, 8388461, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- OOA 6-folding [i] based on linear OA(2139, 8388600, F2, 13) (dual of [8388600, 8388461, 14]-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(2221, 2796328, F2, 6, 13) (dual of [(2796328, 6), 16777747, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2157, 1398163, F2, 7, 13) (dual of [(1398163, 7), 9786984, 14]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(2157, 1398163, F2, 8, 13) (dual of [(1398163, 8), 11185147, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(2157, 1398163, F2, 18, 13) (dual of [(1398163, 18), 25166777, 14]-NRT-code) | [i] | ||