Information on Result #1079628
Linear OOA(2190, 2228221, F2, 4, 12) (dual of [(2228221, 4), 8912694, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(252, 131071, F2, 4, 6) (dual of [(131071, 4), 524232, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (46, 52, 131071)-net over F2, using
- 1 times m-reduction [i] based on digital (46, 53, 131071)-net over F2, using
- extracting embedded OOA [i] based on digital (46, 52, 131071)-net over F2, using
- linear OOA(2138, 2097150, F2, 4, 12) (dual of [(2097150, 4), 8388462, 13]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2138, 8388600, F2, 12) (dual of [8388600, 8388462, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- OOA 4-folding [i] based on linear OA(2138, 8388600, F2, 12) (dual of [8388600, 8388462, 13]-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(2254, 4325370, F2, 4, 12) (dual of [(4325370, 4), 17301226, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2255, 4325371, F2, 4, 12) (dual of [(4325371, 4), 17301229, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(2257, 4456442, F2, 4, 12) (dual of [(4456442, 4), 17825511, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(2254, 4325371, F2, 4, 12) (dual of [(4325371, 4), 17301230, 13]-NRT-code) | [i] | ||