Information on Result #1009151
Linear OOA(2149, 2796212, F2, 3, 13) (dual of [(2796212, 3), 8388487, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(210, 11, F2, 3, 6) (dual of [(11, 3), 23, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 10, 11)-net over F2, using
- 1 times m-reduction [i] based on digital (4, 11, 11)-net over F2, using
- extracting embedded OOA [i] based on digital (4, 10, 11)-net over F2, using
- linear OOA(2139, 2796201, F2, 3, 13) (dual of [(2796201, 3), 8388464, 14]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 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(2216, 5592424, F2, 3, 13) (dual of [(5592424, 3), 16777056, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2149, 1398106, F2, 6, 13) (dual of [(1398106, 6), 8388487, 14]-NRT-code) | [i] | OOA Folding | |