Information on Result #1143479
Linear OOA(2145, 1398103, F2, 6, 13) (dual of [(1398103, 6), 8388473, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(26, 3, F2, 6, 6) (dual of [(3, 6), 12, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(6;12,2) [i]
- 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(2209, 2796206, F2, 6, 13) (dual of [(2796206, 6), 16777027, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2145, 1398102, F2, 7, 13) (dual of [(1398102, 7), 9786569, 14]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(2145, 1398102, F2, 8, 13) (dual of [(1398102, 8), 11184671, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(2145, 1398102, F2, 18, 13) (dual of [(1398102, 18), 25165691, 14]-NRT-code) | [i] | ||