Information on Result #1235338
Linear OOA(2163, 1677974, F2, 5, 12) (dual of [(1677974, 5), 8389707, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(225, 254, F2, 5, 6) (dual of [(254, 5), 1245, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (19, 25, 254)-net over F2, using
- 1 times m-reduction [i] based on digital (19, 26, 254)-net over F2, using
- net defined by OOA [i] based on linear OOA(226, 254, F2, 7, 7) (dual of [(254, 7), 1752, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(226, 255, F2, 3, 7) (dual of [(255, 3), 739, 8]-NRT-code), using
- net defined by OOA [i] based on linear OOA(226, 254, F2, 7, 7) (dual of [(254, 7), 1752, 8]-NRT-code), using
- 1 times m-reduction [i] based on digital (19, 26, 254)-net over F2, using
- extracting embedded OOA [i] based on digital (19, 25, 254)-net over F2, using
- linear OOA(2138, 1677720, F2, 5, 12) (dual of [(1677720, 5), 8388462, 13]-NRT-code), using
- OOA 5-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 5-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(2227, 3355948, F2, 5, 12) (dual of [(3355948, 5), 16779513, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |